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116497472 = 2671383241
BaseRepresentation
bin1101111000110…
…01110001000000
322010012200111012
412330121301000
5214310404342
615320540052
72613132530
oct674316100
9263180435
10116497472
115a83a303
1233021628
131b19b920
14116874c0
15a362b82
hex6f19c40

116497472 has 112 divisors (see below), whose sum is σ = 289145472. Its totient is φ = 45342720.

The previous prime is 116497471. The next prime is 116497477. The reversal of 116497472 is 274794611.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (116497471) 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, 483272 + ... + 483512.

It is an arithmetic number, because the mean of its divisors is an integer number (2581656).

Almost surely, 2116497472 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 116497472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144572736).

116497472 is an abundant number, since it is smaller than the sum of its proper divisors (172648000).

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

116497472 is a wasteful number, since it uses less digits than its factorization.

116497472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 346 counting only the distinct ones).

The product of its digits is 84672, while the sum is 41.

The square root of 116497472 is about 10793.3994644875. The cubic root of 116497472 is about 488.3960772609.

The spelling of 116497472 in words is "one hundred sixteen million, four hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 83 91 104 112 166 182 208 224 241 332 364 416 448 482 581 664 728 832 964 1079 1162 1328 1456 1687 1928 2158 2324 2656 2912 3133 3374 3856 4316 4648 5312 5824 6266 6748 7553 7712 8632 9296 12532 13496 15106 15424 17264 18592 20003 21931 25064 26992 30212 34528 37184 40006 43862 50128 53984 60424 69056 80012 87724 100256 107968 120848 140021 160024 175448 200512 241696 260039 280042 320048 350896 483392 520078 560084 640096 701792 1040156 1120168 1280192 1403584 1820273 2080312 2240336 3640546 4160624 4480672 7281092 8321248 8961344 14562184 16642496 29124368 58248736 116497472