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116368164 = 223411103317
BaseRepresentation
bin1101110111110…
…10001100100100
322002222010010000
412323322030210
5214242240124
615314101300
72612053533
oct673721444
9262863100
10116368164
115a761140
1232b7a830
131b154b03
141165231a
15a3396c9
hex6efa324

116368164 has 120 divisors (see below), whose sum is σ = 336143808. Its totient is φ = 34810560.

The previous prime is 116368157. The next prime is 116368169. The reversal of 116368164 is 461863611.

116368164 is a `hidden beast` number, since 1 + 1 + 636 + 8 + 16 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (116368169) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 366934 + ... + 367250.

Almost surely, 2116368164 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 116368164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168071904).

116368164 is an abundant number, since it is smaller than the sum of its proper divisors (219775644).

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

116368164 is a wasteful number, since it uses less digits than its factorization.

116368164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 436 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 116368164 is about 10787.4076589327. The cubic root of 116368164 is about 488.2153096747.

The spelling of 116368164 in words is "one hundred sixteen million, three hundred sixty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 103 108 132 162 198 206 297 309 317 324 396 412 594 618 634 891 927 951 1133 1188 1236 1268 1782 1854 1902 2266 2781 2853 3399 3487 3564 3708 3804 4532 5562 5706 6798 6974 8343 8559 10197 10461 11124 11412 13596 13948 16686 17118 20394 20922 25677 30591 31383 32651 33372 34236 40788 41844 51354 61182 62766 65302 91773 94149 97953 102708 122364 125532 130604 183546 188298 195906 282447 293859 359161 367092 376596 391812 564894 587718 718322 881577 1077483 1129788 1175436 1436644 1763154 2154966 2644731 3232449 3526308 4309932 5289462 6464898 9697347 10578924 12929796 19394694 29092041 38789388 58184082 116368164