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116501472 = 25323113049
BaseRepresentation
bin1101111000110…
…10101111100000
322010012212222100
412330122233200
5214311021342
615321010400
72613150303
oct674325740
9263185870
10116501472
115a84230a
1233023a00
131b1a06a9
1411688b3a
15a363e4c
hex6f1abe0

116501472 has 72 divisors (see below), whose sum is σ = 342014400. Its totient is φ = 37578240.

The previous prime is 116501471. The next prime is 116501477. The reversal of 116501472 is 274105611.

It is a happy number.

116501472 is a `hidden beast` number, since 1 + 1 + 650 + 1 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116501471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2404 + ... + 15452.

It is an arithmetic number, because the mean of its divisors is an integer number (4750200).

Almost surely, 2116501472 is an apocalyptic number.

116501472 is a gapful number since it is divisible by the number (12) 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 116501472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171007200).

116501472 is an abundant number, since it is smaller than the sum of its proper divisors (225512928).

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

116501472 is a wasteful number, since it uses less digits than its factorization.

116501472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13096 (or 13085 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 116501472 is about 10793.5847613293. The cubic root of 116501472 is about 488.4016669729.

The spelling of 116501472 in words is "one hundred sixteen million, five hundred one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 13049 26098 39147 52196 78294 104392 117441 156588 208784 234882 313176 404519 417568 469764 626352 809038 939528 1213557 1252704 1618076 1879056 2427114 3236152 3640671 3758112 4854228 6472304 7281342 9708456 12944608 14562684 19416912 29125368 38833824 58250736 116501472