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116364528 = 24327671723
BaseRepresentation
bin1101110111110…
…01010011110000
322002221221010100
412323321103300
5214242131103
615314032400
72612040120
oct673712360
9262857110
10116364528
115a759435
1232b78700
131b153267
1411650c80
15a3385a3
hex6ef94f0

116364528 has 120 divisors (see below), whose sum is σ = 377955968. Its totient is φ = 32731776.

The previous prime is 116364517. The next prime is 116364529. The reversal of 116364528 is 825463611.

It is a happy number.

116364528 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 645 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 116364492 and 116364501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116364529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66675 + ... + 68397.

Almost surely, 2116364528 is an apocalyptic number.

116364528 is a gapful number since it is divisible by the number (18) 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 116364528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188977984).

116364528 is an abundant number, since it is smaller than the sum of its proper divisors (261591440).

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

116364528 is a wasteful number, since it uses less digits than its factorization.

116364528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1802 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 116364528 is about 10787.2391277843. The cubic root of 116364528 is about 488.2102247520.

The spelling of 116364528 in words is "one hundred sixteen million, three hundred sixty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 67 72 84 112 126 134 144 168 201 252 268 336 402 469 504 536 603 804 938 1008 1072 1206 1407 1608 1723 1876 2412 2814 3216 3446 3752 4221 4824 5169 5628 6892 7504 8442 9648 10338 11256 12061 13784 15507 16884 20676 22512 24122 27568 31014 33768 36183 41352 48244 62028 67536 72366 82704 96488 108549 115441 124056 144732 192976 217098 230882 248112 289464 346323 434196 461764 578928 692646 808087 868392 923528 1038969 1385292 1616174 1736784 1847056 2077938 2424261 2770584 3232348 4155876 4848522 5541168 6464696 7272783 8311752 9697044 12929392 14545566 16623504 19394088 29091132 38788176 58182264 116364528