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116403264 = 2633314153
BaseRepresentation
bin1101111000000…
…10110001000000
322010000220021000
412330002301000
5214244401024
615314532000
72612261055
oct674026100
9263026230
10116403264
115a78554a
1232b97000
131b167a93
141166102c
15a344cc9
hex6f02c40

116403264 has 224 divisors, whose sum is σ = 368686080. Its totient is φ = 35942400.

The previous prime is 116403263. The next prime is 116403271. The reversal of 116403264 is 462304611.

116403264 is a `hidden beast` number, since 11 + 640 + 3 + 2 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (116403263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2196262 + ... + 2196314.

It is an arithmetic number, because the mean of its divisors is an integer number (1645920).

Almost surely, 2116403264 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 116403264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184343040).

116403264 is an abundant number, since it is smaller than the sum of its proper divisors (252282816).

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

116403264 is a wasteful number, since it uses less digits than its factorization.

116403264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 116403264 is about 10789.0344331641. The cubic root of 116403264 is about 488.2643913540.

Adding to 116403264 its reverse (462304611), we get a palindrome (578707875).

The spelling of 116403264 in words is "one hundred sixteen million, four hundred three thousand, two hundred sixty-four".