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114072591 = 3313733151
BaseRepresentation
bin1101100110010…
…01110000001111
321221122111011210
412303021300033
5213200310331
615152545503
72553413103
oct663116017
9257574153
10114072591
1159433476
1232252293
131a82cc99
1411215903
15a034446
hex6cc9c0f

114072591 has 16 divisors (see below), whose sum is σ = 161251328. Its totient is φ = 71604000.

The previous prime is 114072527. The next prime is 114072641. The reversal of 114072591 is 195270411.

It is not a de Polignac number, because 114072591 - 26 = 114072527 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114072521) 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, 13135 + ... + 20016.

It is an arithmetic number, because the mean of its divisors is an integer number (10078208).

Almost surely, 2114072591 is an apocalyptic number.

114072591 is a deficient number, since it is larger than the sum of its proper divisors (47178737).

114072591 is a wasteful number, since it uses less digits than its factorization.

114072591 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33222.

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 114072591 is about 10680.4770960852. The cubic root of 114072591 is about 484.9836548146.

The spelling of 114072591 in words is "one hundred fourteen million, seventy-two thousand, five hundred ninety-one".

Divisors: 1 3 31 37 93 111 1147 3441 33151 99453 1027681 1226587 3083043 3679761 38024197 114072591