Search a number
-
+
137230596 = 223217224233
BaseRepresentation
bin10000010110111…
…11100100000100
3100120020000222200
420023133210010
5240112334341
621341154500
73254304126
oct1013374404
9316200880
10137230596
1170510418
1239b5ba30
132257a949
1414323216
15c0aadb6
hex82df904

137230596 has 36 divisors (see below), whose sum is σ = 367295292. Its totient is φ = 43052544.

The previous prime is 137230591. The next prime is 137230607. The reversal of 137230596 is 695032731.

137230596 is a `hidden beast` number, since 1 + 37 + 2 + 30 + 596 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51408900 + 85821696 = 7170^2 + 9264^2 .

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 137230596.

It is not an unprimeable number, because it can be changed into a prime (137230591) 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, 111505 + ... + 112728.

It is an arithmetic number, because the mean of its divisors is an integer number (10202647).

Almost surely, 2137230596 is an apocalyptic number.

It is an amenable number.

137230596 is an abundant number, since it is smaller than the sum of its proper divisors (230064696).

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

137230596 is a wasteful number, since it uses less digits than its factorization.

137230596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224260 (or 224255 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 137230596 is about 11714.5463420484. The cubic root of 137230596 is about 515.8027459491.

The spelling of 137230596 in words is "one hundred thirty-seven million, two hundred thirty thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 224233 448466 672699 896932 1345398 2018097 2690796 3811961 4036194 7623922 8072388 11435883 15247844 22871766 34307649 45743532 68615298 137230596