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116651664 = 243673137
BaseRepresentation
bin1101111001111…
…11011010010000
322010111112000000
412330333122100
5214330323124
615324130000
72614344213
oct674773220
9263445000
10116651664
115a935138
1233096900
131b223b6c
14116c777a
15a3936c9
hex6f3f690

116651664 has 140 divisors (see below), whose sum is σ = 346013196. Its totient is φ = 38071296.

The previous prime is 116651663. The next prime is 116651669. The reversal of 116651664 is 466156611.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 67371264 + 49280400 = 8208^2 + 7020^2 .

It is a super-2 number, since 2×1166516642 = 27215221427937792, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116651663) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 851404 + ... + 851540.

Almost surely, 2116651664 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 116651664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173006598).

116651664 is an abundant number, since it is smaller than the sum of its proper divisors (229361532).

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

116651664 is an equidigital number, since it uses as much as digits as its factorization.

116651664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 215 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 116651664 is about 10800.5399865007. The cubic root of 116651664 is about 488.6114569499.

The spelling of 116651664 in words is "one hundred sixteen million, six hundred fifty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 81 108 137 144 146 162 216 219 243 274 292 324 411 432 438 486 548 584 648 657 729 822 876 972 1096 1168 1233 1296 1314 1458 1644 1752 1944 1971 2192 2466 2628 2916 3288 3504 3699 3888 3942 4932 5256 5832 5913 6576 7398 7884 9864 10001 10512 11097 11664 11826 14796 15768 17739 19728 20002 22194 23652 29592 30003 31536 33291 35478 40004 44388 47304 53217 59184 60006 66582 70956 80008 88776 90009 94608 99873 106434 120012 133164 141912 160016 177552 180018 199746 212868 240024 266328 270027 283824 360036 399492 425736 480048 532656 540054 720072 798984 810081 851472 1080108 1440144 1597968 1620162 2160216 2430243 3240324 4320432 4860486 6480648 7290729 9720972 12961296 14581458 19441944 29162916 38883888 58325832 116651664