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137630052 = 22327546151
BaseRepresentation
bin10000011010000…
…01000101100100
3100120222022221100
420031001011210
5240213130202
621353520100
73260556540
oct1015010544
9316868840
10137630052
117076354a
123a113030
132268a701
14143c8a20
15c13941c
hex8341164

137630052 has 36 divisors (see below), whose sum is σ = 397598656. Its totient is φ = 39322800.

The previous prime is 137630033. The next prime is 137630069. The reversal of 137630052 is 250036731.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 137629998 and 137630025.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 272824 + ... + 273327.

Almost surely, 2137630052 is an apocalyptic number.

137630052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137630052 is an abundant number, since it is smaller than the sum of its proper divisors (259968604).

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

137630052 is a wasteful number, since it uses less digits than its factorization.

137630052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546168 (or 546163 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 137630052 is about 11731.5835248273. The cubic root of 137630052 is about 516.3027338370.

Adding to 137630052 its reverse (250036731), we get a palindrome (387666783).

The spelling of 137630052 in words is "one hundred thirty-seven million, six hundred thirty thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 546151 1092302 1638453 2184604 3276906 3823057 4915359 6553812 7646114 9830718 11469171 15292228 19661436 22938342 34407513 45876684 68815026 137630052