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131374089 = 33711292179
BaseRepresentation
bin1111101010010…
…01110000001001
3100011012111101000
413311021300021
5232112432324
621011445213
73153442560
oct765116011
9304174330
10131374089
1168180330
1237bb6809
13212aa062
141363abd7
15b8009c9
hex7d49c09

131374089 has 64 divisors (see below), whose sum is σ = 251136000. Its totient is φ = 65862720.

The previous prime is 131374051. The next prime is 131374097. The reversal of 131374089 is 980473131.

It is a happy number.

It is not a de Polignac number, because 131374089 - 28 = 131373833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131374039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59202 + ... + 61380.

It is an arithmetic number, because the mean of its divisors is an integer number (3924000).

Almost surely, 2131374089 is an apocalyptic number.

It is an amenable number.

131374089 is a deficient number, since it is larger than the sum of its proper divisors (119761911).

131374089 is a wasteful number, since it uses less digits than its factorization.

131374089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 131374089 is about 11461.8536458986. The cubic root of 131374089 is about 508.3582849229.

The spelling of 131374089 in words is "one hundred thirty-one million, three hundred seventy-four thousand, eighty-nine".

Divisors: 1 3 7 9 11 21 27 29 33 63 77 87 99 189 203 231 261 297 319 609 693 783 957 1827 2079 2179 2233 2871 5481 6537 6699 8613 15253 19611 20097 23969 45759 58833 60291 63191 71907 137277 167783 189573 215721 411831 442337 503349 568719 647163 695101 1327011 1510047 1706157 2085303 3981033 4530141 4865707 6255909 11943099 14597121 18767727 43791363 131374089