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114972507 = 3313327557
BaseRepresentation
bin1101101101001…
…01011101011011
322000100012122000
412312211131123
5213413110012
615224132043
72564151546
oct666453533
9260305560
10114972507
1159998601
1232607023
131aa86790
14113ab85d
15a160ddc
hex6da575b

114972507 has 16 divisors (see below), whose sum is σ = 183432480. Its totient is φ = 70752096.

The previous prime is 114972493. The next prime is 114972509. The reversal of 114972507 is 705279411.

It is a happy number.

114972507 is a `hidden beast` number, since 1 + 149 + 7 + 2 + 507 = 666.

It is not a de Polignac number, because 114972507 - 24 = 114972491 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (114972509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163428 + ... + 164129.

It is an arithmetic number, because the mean of its divisors is an integer number (11464530).

Almost surely, 2114972507 is an apocalyptic number.

114972507 is a deficient number, since it is larger than the sum of its proper divisors (68459973).

114972507 is a wasteful number, since it uses less digits than its factorization.

114972507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327579 (or 327573 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 114972507 is about 10722.5233504059. The cubic root of 114972507 is about 486.2556572895.

The spelling of 114972507 in words is "one hundred fourteen million, nine hundred seventy-two thousand, five hundred seven".

Divisors: 1 3 9 13 27 39 117 351 327557 982671 2948013 4258241 8844039 12774723 38324169 114972507