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117640704 = 2931929139
BaseRepresentation
bin1110000001100…
…00111000000000
322012100202201010
413000300320000
5220104000304
615401240520
72625633546
oct700607000
9265322633
10117640704
1160450225
1233493140
131b4ac0ac
14118a3d96
15a4db789
hex7030e00

117640704 has 160 divisors (see below), whose sum is σ = 343728000. Its totient is φ = 35610624.

The previous prime is 117640693. The next prime is 117640709. The reversal of 117640704 is 407046711.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117640709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846267 + ... + 846405.

It is an arithmetic number, because the mean of its divisors is an integer number (2148300).

Almost surely, 2117640704 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 117640704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171864000).

117640704 is an abundant number, since it is smaller than the sum of its proper divisors (226087296).

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

117640704 is a wasteful number, since it uses less digits than its factorization.

117640704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 117640704 is about 10846.2299440866. The cubic root of 117640704 is about 489.9884823060.

The spelling of 117640704 in words is "one hundred seventeen million, six hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 64 76 87 96 114 116 128 139 152 174 192 228 232 256 278 304 348 384 417 456 464 512 551 556 608 696 768 834 912 928 1102 1112 1216 1392 1536 1653 1668 1824 1856 2204 2224 2432 2641 2784 3306 3336 3648 3712 4031 4408 4448 4864 5282 5568 6612 6672 7296 7424 7923 8062 8816 8896 9728 10564 11136 12093 13224 13344 14592 14848 15846 16124 17632 17792 21128 22272 24186 26448 26688 29184 31692 32248 35264 35584 42256 44544 48372 52896 53376 63384 64496 70528 71168 76589 84512 96744 105792 106752 126768 128992 141056 153178 169024 193488 211584 213504 229767 253536 257984 282112 306356 338048 386976 423168 459534 507072 515968 612712 676096 773952 846336 919068 1014144 1031936 1225424 1352192 1547904 1838136 2028288 2063872 2450848 3095808 3676272 4056576 4901696 6191616 7352544 9803392 14705088 19606784 29410176 39213568 58820352 117640704