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116171064 = 23331721861
BaseRepresentation
bin1101110110010…
…10000100111000
322002121002202000
412323022010320
5214214433224
615305541000
72610303102
oct673120470
9262532660
10116171064
115a637049
1232aa4760
131b0b6199
1411600572
15a2eb0c9
hex6eca138

116171064 has 96 divisors (see below), whose sum is σ = 342980400. Its totient is φ = 36426240.

The previous prime is 116171053. The next prime is 116171087. The reversal of 116171064 is 460171611.

It is a super-2 number, since 2×1161710642 = 26991432221784192, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61494 + ... + 63354.

Almost surely, 2116171064 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 116171064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171490200).

116171064 is an abundant number, since it is smaller than the sum of its proper divisors (226809336).

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

116171064 is a wasteful number, since it uses less digits than its factorization.

116171064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 116171064 is about 10778.2681354659. The cubic root of 116171064 is about 487.9395136893.

The spelling of 116171064 in words is "one hundred sixteen million, one hundred seventy-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 289 306 408 459 578 612 867 918 1156 1224 1734 1836 1861 2312 2601 3468 3672 3722 5202 5583 6936 7444 7803 10404 11166 14888 15606 16749 20808 22332 31212 31637 33498 44664 50247 62424 63274 66996 94911 100494 126548 133992 189822 200988 253096 284733 379644 401976 537829 569466 759288 854199 1075658 1138932 1613487 1708398 2151316 2277864 3226974 3416796 4302632 4840461 6453948 6833592 9680922 12907896 14521383 19361844 29042766 38723688 58085532 116171064