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117347616 = 253515091
BaseRepresentation
bin1101111111010…
…01010100100000
322011210212200000
412333221110200
5220020110431
615351100000
72623303221
oct677512440
9264725600
10117347616
1160270001
1233371600
131b408879
1411829248
15a47e9e6
hex6fe9520

117347616 has 72 divisors (see below), whose sum is σ = 346089744. Its totient is φ = 39113280.

The previous prime is 117347611. The next prime is 117347621. The reversal of 117347616 is 616743711.

117347616 is a `hidden beast` number, since 1 + 1 + 7 + 34 + 7 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (117347611) and next prime (117347621).

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

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

It is not an unprimeable number, because it can be changed into a prime (117347611) 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, 231 + ... + 15321.

It is an arithmetic number, because the mean of its divisors is an integer number (4806802).

Almost surely, 2117347616 is an apocalyptic number.

117347616 is a gapful number since it is divisible by the number (16) 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 117347616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173044872).

117347616 is an abundant number, since it is smaller than the sum of its proper divisors (228742128).

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

117347616 is an equidigital number, since it uses as much as digits as its factorization.

117347616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15116 (or 15096 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 117347616 is about 10832.7104641452. The cubic root of 117347616 is about 489.5812276539.

The spelling of 117347616 in words is "one hundred seventeen million, three hundred forty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 15091 30182 45273 60364 90546 120728 135819 181092 241456 271638 362184 407457 482912 543276 724368 814914 1086552 1222371 1448736 1629828 2173104 2444742 3259656 3667113 4346208 4889484 6519312 7334226 9778968 13038624 14668452 19557936 29336904 39115872 58673808 117347616