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2058667920 = 243352114517
BaseRepresentation
bin111101010110100…
…1100011110010000
312022110202011111000
41322231030132100
513204004333140
6540140222000
7102005250201
oct17255143620
95273664430
102058667920
11967078751
1249553a900
1326a678bca
141575ab5a8
15c0b00a30
hex7ab4c790

2058667920 has 160 divisors (see below), whose sum is σ = 7126151040. Its totient is φ = 546255360.

The previous prime is 2058667907. The next prime is 2058667939. The reversal of 2058667920 is 297668502.

2058667920 is a `hidden beast` number, since 2 + 0 + 586 + 67 + 9 + 2 + 0 = 666.

2058667920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×20586679202 = 8476227209674252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453502 + ... + 458018.

It is an arithmetic number, because the mean of its divisors is an integer number (44538444).

Almost surely, 22058667920 is an apocalyptic number.

2058667920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2058667920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3563075520).

2058667920 is an abundant number, since it is smaller than the sum of its proper divisors (5067483120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2058667920 is a wasteful number, since it uses less digits than its factorization.

2058667920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4750 (or 4738 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2058667920 is about 45372.5458840475. The cubic root of 2058667920 is about 1272.1220068090.

The spelling of 2058667920 in words is "two billion, fifty-eight million, six hundred sixty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 211 216 240 270 360 422 432 540 633 720 844 1055 1080 1266 1688 1899 2110 2160 2532 3165 3376 3798 4220 4517 5064 5697 6330 7596 8440 9034 9495 10128 11394 12660 13551 15192 16880 18068 18990 22585 22788 25320 27102 28485 30384 36136 37980 40653 45170 45576 50640 54204 56970 67755 72272 75960 81306 90340 91152 108408 113940 121959 135510 151920 162612 180680 203265 216816 227880 243918 271020 325224 361360 406530 455760 487836 542040 609795 650448 813060 953087 975672 1084080 1219590 1626120 1906174 1951344 2439180 2859261 3252240 3812348 4765435 4878360 5718522 7624696 8577783 9530870 9756720 11437044 14296305 15249392 17155566 19061740 22874088 25733349 28592610 34311132 38123480 42888915 45748176 51466698 57185220 68622264 76246960 85777830 102933396 114370440 128666745 137244528 171555660 205866792 228740880 257333490 343111320 411733584 514666980 686222640 1029333960 2058667920