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116591664 = 2437353983
BaseRepresentation
bin1101111001100…
…00110000110000
322010101110200210
412330300300300
5214321413124
615322544120
72614004250
oct674606060
9263343623
10116591664
115a8a4052
1233068040
131b202767
14116ad960
15a380a29
hex6f30c30

116591664 has 80 divisors (see below), whose sum is σ = 345549312. Its totient is φ = 33183744.

The previous prime is 116591663. The next prime is 116591707. The reversal of 116591664 is 466195611.

It is a super-2 number, since 2×1165916642 = 27187232228577792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116591663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118117 + ... + 119099.

Almost surely, 2116591664 is an apocalyptic number.

116591664 is a gapful number since it is divisible by the number (14) 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 116591664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172774656).

116591664 is an abundant number, since it is smaller than the sum of its proper divisors (228957648).

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

116591664 is a wasteful number, since it uses less digits than its factorization.

116591664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1348 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 116591664 is about 10797.7619903386. The cubic root of 116591664 is about 488.5276698462.

It can be divided in two parts, 1165 and 91664, that added together give a palindrome (92829).

The spelling of 116591664 in words is "one hundred sixteen million, five hundred ninety-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 353 706 983 1059 1412 1966 2118 2471 2824 2949 3932 4236 4942 5648 5898 6881 7413 7864 8472 9884 11796 13762 14826 15728 16944 19768 20643 23592 27524 29652 39536 41286 47184 55048 59304 82572 110096 118608 165144 330288 346999 693998 1040997 1387996 2081994 2428993 2775992 4163988 4857986 5551984 7286979 8327976 9715972 14573958 16655952 19431944 29147916 38863888 58295832 116591664