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116541504 = 263422481
BaseRepresentation
bin1101111001001…
…00100001000000
322010021220220000
412330210201000
5214313312004
615321520000
72613405102
oct674444100
9263256800
10116541504
115a86a3a2
1233043000
131b1b5991
1411699572
15a370c39
hex6f24840

116541504 has 70 divisors (see below), whose sum is σ = 345480894. Its totient is φ = 38845440.

The previous prime is 116541499. The next prime is 116541521. The reversal of 116541504 is 405145611.

116541504 is a `hidden beast` number, since 1 + 1 + 654 + 1 + 5 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69755904 + 46785600 = 8352^2 + 6840^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6057 + ... + 16424.

Almost surely, 2116541504 is an apocalyptic number.

It is an amenable number.

116541504 is an abundant number, since it is smaller than the sum of its proper divisors (228939390).

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

116541504 is an equidigital number, since it uses as much as digits as its factorization.

116541504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22505 (or 22486 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 116541504 is about 10795.4390369267. The cubic root of 116541504 is about 488.4576017641.

The spelling of 116541504 in words is "one hundred sixteen million, five hundred forty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 22481 44962 67443 89924 134886 179848 202329 269772 359696 404658 539544 606987 719392 809316 1079088 1213974 1438784 1618632 1820961 2158176 2427948 3237264 3641922 4316352 4855896 6474528 7283844 9711792 12949056 14567688 19423584 29135376 38847168 58270752 116541504