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116580352 = 213719107
BaseRepresentation
bin1101111001011…
…10000000000000
322010100220011211
412330232000000
5214321032402
615322415504
72613626260
oct674560000
9263326154
10116580352
115a8965a9
1233061594
131b1ca575
14116a97a0
15a37c4d7
hex6f2e000

116580352 has 112 divisors (see below), whose sum is σ = 283098240. Its totient is φ = 46891008.

The previous prime is 116580349. The next prime is 116580383. The reversal of 116580352 is 253085611.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1089483 + ... + 1089589.

Almost surely, 2116580352 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 116580352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141549120).

116580352 is an abundant number, since it is smaller than the sum of its proper divisors (166517888).

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

116580352 is an equidigital number, since it uses as much as digits as its factorization.

116580352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 116580352 is about 10797.2381653828. The cubic root of 116580352 is about 488.5118699638.

The spelling of 116580352 in words is "one hundred sixteen million, five hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 107 112 128 133 152 214 224 256 266 304 428 448 512 532 608 749 856 896 1024 1064 1216 1498 1712 1792 2033 2048 2128 2432 2996 3424 3584 4066 4096 4256 4864 5992 6848 7168 8132 8192 8512 9728 11984 13696 14231 14336 16264 17024 19456 23968 27392 28462 28672 32528 34048 38912 47936 54784 56924 57344 65056 68096 77824 95872 109568 113848 130112 136192 155648 191744 219136 227696 260224 272384 383488 438272 455392 520448 544768 766976 876544 910784 1040896 1089536 1533952 1821568 2081792 3067904 3643136 4163584 6135808 7286272 8327168 14572544 16654336 29145088 58290176 116580352