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2055392040 = 2335133473797
BaseRepresentation
bin111101010000010…
…1100101100101000
312022020120201211010
41322200230230220
513202140021130
6535542103520
7101635354422
oct17240545450
95266521733
102055392040
11965240509
1249441aba0
13269a9cb10
14156d97812
15c06a50b0
hex7a82cb28

2055392040 has 128 divisors (see below), whose sum is σ = 6661388160. Its totient is φ = 504351744.

The previous prime is 2055391999. The next prime is 2055392041. The reversal of 2055392040 is 402935502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2055391989 and 2055392007.

It is not an unprimeable number, because it can be changed into a prime (2055392041) 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, 539422 + ... + 543218.

It is an arithmetic number, because the mean of its divisors is an integer number (52042095).

Almost surely, 22055392040 is an apocalyptic number.

2055392040 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 2055392040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330694080).

2055392040 is an abundant number, since it is smaller than the sum of its proper divisors (4605996120).

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

2055392040 is a wasteful number, since it uses less digits than its factorization.

2055392040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4171 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 2055392040 is about 45336.4317078440. The cubic root of 2055392040 is about 1271.4468887893.

The spelling of 2055392040 in words is "two billion, fifty-five million, three hundred ninety-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 347 390 520 694 780 1041 1388 1560 1735 2082 2776 3470 3797 4164 4511 5205 6940 7594 8328 9022 10410 11391 13533 13880 15188 18044 18985 20820 22555 22782 27066 30376 36088 37970 41640 45110 45564 49361 54132 56955 67665 75940 90220 91128 98722 108264 113910 135330 148083 151880 180440 197444 227820 246805 270660 296166 394888 455640 493610 541320 592332 740415 987220 1184664 1317559 1480830 1974440 2635118 2961660 3952677 5270236 5923320 6587795 7905354 10540472 13175590 15810708 17128267 19763385 26351180 31621416 34256534 39526770 51384801 52702360 68513068 79053540 85641335 102769602 137026136 158107080 171282670 205539204 256924005 342565340 411078408 513848010 685130680 1027696020 2055392040