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207379968 = 293374189
BaseRepresentation
bin11000101110001…
…01111000000000
3112110012222211120
430113011320000
5411042124333
632324512240
75065462215
oct1427057000
9473188746
10207379968
11a7073704
125954b680
1333c6c453
141d783b0c
1513315db3
hexc5c5e00

207379968 has 160 divisors (see below), whose sum is σ = 587774880. Its totient is φ = 64880640.

The previous prime is 207379961. The next prime is 207379979. The reversal of 207379968 is 869973702.

It is a super-2 number, since 2×2073799682 = 86012902255362048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 207379968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207379961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2330068 + ... + 2330156.

It is an arithmetic number, because the mean of its divisors is an integer number (3673593).

Almost surely, 2207379968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207379968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293887440).

207379968 is an abundant number, since it is smaller than the sum of its proper divisors (380394912).

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

207379968 is an equidigital number, since it uses as much as digits as its factorization.

207379968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The square root of 207379968 is about 14400.6933166428. The cubic root of 207379968 is about 591.9098961966.

The spelling of 207379968 in words is "two hundred seven million, three hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 41 48 64 74 82 89 96 111 123 128 148 164 178 192 222 246 256 267 296 328 356 384 444 492 512 534 592 656 712 768 888 984 1068 1184 1312 1424 1517 1536 1776 1968 2136 2368 2624 2848 3034 3293 3552 3649 3936 4272 4551 4736 5248 5696 6068 6586 7104 7298 7872 8544 9102 9472 9879 10496 10947 11392 12136 13172 14208 14596 15744 17088 18204 18944 19758 20992 21894 22784 24272 26344 28416 29192 31488 34176 36408 39516 43788 45568 48544 52688 56832 58384 62976 68352 72816 79032 87576 97088 105376 116768 135013 136704 145632 158064 175152 194176 210752 233536 270026 291264 316128 350304 388352 405039 421504 467072 540052 582528 632256 700608 776704 810078 843008 934144 1080104 1165056 1264512 1401216 1620156 1686016 1868288 2160208 2330112 2529024 2802432 3240312 4320416 5058048 5604864 6480624 8640832 12961248 17281664 25922496 34563328 51844992 69126656 103689984 207379968