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117711072 = 2532408719
BaseRepresentation
bin1110000010000…
…10000011100000
322012111100020100
413001002003200
5220113223242
615402542400
72626345653
oct701020340
9265440210
10117711072
1160499086
1233507a00
131b50512b
14118c189a
15a50254c
hex70420e0

117711072 has 36 divisors (see below), whose sum is σ = 334741680. Its totient is φ = 39236928.

The previous prime is 117711071. The next prime is 117711089. The reversal of 117711072 is 270117711.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117711071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204072 + ... + 204647.

It is an arithmetic number, because the mean of its divisors is an integer number (9298380).

Almost surely, 2117711072 is an apocalyptic number.

117711072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

117711072 is an abundant number, since it is smaller than the sum of its proper divisors (217030608).

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

117711072 is a wasteful number, since it uses less digits than its factorization.

117711072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408735 (or 408724 counting only the distinct ones).

The product of its (nonzero) digits is 686, while the sum is 27.

The square root of 117711072 is about 10849.4733512738. The cubic root of 117711072 is about 490.0861600538.

Adding to 117711072 its reverse (270117711), we get a palindrome (387828783).

The spelling of 117711072 in words is "one hundred seventeen million, seven hundred eleven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 408719 817438 1226157 1634876 2452314 3269752 3678471 4904628 6539504 7356942 9809256 13079008 14713884 19618512 29427768 39237024 58855536 117711072