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137895084 = 2232194492
BaseRepresentation
bin10000011100000…
…01110010101100
3100121110210111100
420032001302230
5240300120314
621403323100
73263042325
oct1016016254
9317423440
10137895084
1170924688
123a220490
1322751232
141445744c
15c18cc09
hex8381cac

137895084 has 54 divisors (see below), whose sum is σ = 367732820. Its totient is φ = 43448832.

The previous prime is 137895083. The next prime is 137895101. The reversal of 137895084 is 480598731.

137895084 is a `hidden beast` number, since 137 + 8 + 9 + 508 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (137895083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 306892 + ... + 307340.

Almost surely, 2137895084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137895084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183866410).

137895084 is an abundant number, since it is smaller than the sum of its proper divisors (229837736).

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

137895084 is a wasteful number, since it uses less digits than its factorization.

137895084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 137895084 is about 11742.8737538986. The cubic root of 137895084 is about 516.6339333176.

The spelling of 137895084 in words is "one hundred thirty-seven million, eight hundred ninety-five thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 449 684 898 1347 1796 2694 4041 5388 8082 8531 16164 17062 25593 34124 51186 76779 102372 153558 201601 307116 403202 604803 806404 1209606 1814409 2419212 3628818 3830419 7257636 7660838 11491257 15321676 22982514 34473771 45965028 68947542 137895084