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2058694920 = 233352965731
BaseRepresentation
bin111101010110101…
…0011000100001000
312022110210112112000
41322231103010020
513204011214140
6540140551000
7102005422002
oct17255230410
95273715460
102058694920
11967096a67
12495552460
1326a688299
141575b7372
15c0b08a30
hex7ab53108

2058694920 has 128 divisors (see below), whose sum is σ = 7099056000. Its totient is φ = 530046720.

The previous prime is 2058694901. The next prime is 2058694927. The reversal of 2058694920 is 294968502.

2058694920 is a `hidden beast` number, since 2 + 0 + 586 + 9 + 49 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2058694927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1546 + ... + 64185.

It is an arithmetic number, because the mean of its divisors is an integer number (55461375).

Almost surely, 22058694920 is an apocalyptic number.

2058694920 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 2058694920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549528000).

2058694920 is an abundant number, since it is smaller than the sum of its proper divisors (5040361080).

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

2058694920 is a wasteful number, since it uses less digits than its factorization.

2058694920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65780 (or 65770 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2058694920 is about 45372.8434198255. The cubic root of 2058694920 is about 1272.1275681955.

The spelling of 2058694920 in words is "two billion, fifty-eight million, six hundred ninety-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 174 180 216 232 261 270 290 348 360 435 522 540 580 696 783 870 1044 1080 1160 1305 1566 1740 2088 2610 3132 3480 3915 5220 6264 7830 10440 15660 31320 65731 131462 197193 262924 328655 394386 525848 591579 657310 788772 985965 1183158 1314620 1577544 1774737 1906199 1971930 2366316 2629240 2957895 3549474 3812398 3943860 4732632 5718597 5915790 7098948 7624796 7887720 8873685 9530995 11437194 11831580 14197896 15249592 17155791 17747370 19061990 22874388 23663160 28592985 34311582 35494740 38123980 45748776 51467373 57185970 68623164 70989480 76247960 85778955 102934746 114371940 137246328 171557910 205869492 228743880 257336865 343115820 411738984 514673730 686231640 1029347460 2058694920