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116360832 = 273773593
BaseRepresentation
bin1101110111110…
…00011010000000
322002221202001110
412323320122000
5214242021312
615314003320
72612023260
oct673703200
9262852043
10116360832
115a756685
1232b76540
131b151683
141164d7a0
15a33743c
hex6ef8680

116360832 has 128 divisors (see below), whose sum is σ = 358680960. Its totient is φ = 32735232.

The previous prime is 116360831. The next prime is 116360863. The reversal of 116360832 is 238063611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 116360832.

It is not an unprimeable number, because it can be changed into a prime (116360831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195928 + ... + 196520.

It is an arithmetic number, because the mean of its divisors is an integer number (2802195).

Almost surely, 2116360832 is an apocalyptic number.

116360832 is a gapful number since it is divisible by the number (12) 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 116360832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179340480).

116360832 is an abundant number, since it is smaller than the sum of its proper divisors (242320128).

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

116360832 is an equidigital number, since it uses as much as digits as its factorization.

116360832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 116360832 is about 10787.0678128952. The cubic root of 116360832 is about 488.2050558112.

The spelling of 116360832 in words is "one hundred sixteen million, three hundred sixty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 128 146 168 192 219 224 292 336 384 438 448 511 584 593 672 876 896 1022 1168 1186 1344 1533 1752 1779 2044 2336 2372 2688 3066 3504 3558 4088 4151 4672 4744 6132 7008 7116 8176 8302 9344 9488 12264 12453 14016 14232 16352 16604 18976 24528 24906 28032 28464 32704 33208 37952 43289 49056 49812 56928 65408 66416 75904 86578 98112 99624 113856 129867 132832 173156 196224 199248 227712 259734 265664 303023 346312 398496 519468 531328 606046 692624 796992 909069 1038936 1212092 1385248 1593984 1818138 2077872 2424184 2770496 3636276 4155744 4848368 5540992 7272552 8311488 9696736 14545104 16622976 19393472 29090208 38786944 58180416 116360832