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137420928 = 2733172339
BaseRepresentation
bin10000011000011…
…10000010000000
3100120120201002000
420030032002000
5240134432203
621345224000
73256026051
oct1014160200
9316521060
10137420928
1170630417
123a032000
1322616478
1414372728
15c0e74a3
hex830e080

137420928 has 128 divisors (see below), whose sum is σ = 429624000. Its totient is φ = 43094016.

The previous prime is 137420893. The next prime is 137420947. The reversal of 137420928 is 829024731.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1374209282 = 37769022904762368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 137420892 and 137420901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57583 + ... + 59921.

Almost surely, 2137420928 is an apocalyptic number.

137420928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137420928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214812000).

137420928 is an abundant number, since it is smaller than the sum of its proper divisors (292203072).

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

137420928 is a wasteful number, since it uses less digits than its factorization.

137420928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 137420928 is about 11722.6672732787. The cubic root of 137420928 is about 516.0411000253.

The spelling of 137420928 in words is "one hundred thirty-seven million, four hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2339 2448 3264 3456 3672 4678 4896 6528 7017 7344 9356 9792 14034 14688 18712 19584 21051 28068 29376 37424 39763 42102 56136 58752 63153 74848 79526 84204 112272 119289 126306 149696 159052 168408 224544 238578 252612 299392 318104 336816 357867 449088 477156 505224 636208 673632 715734 898176 954312 1010448 1073601 1272416 1347264 1431468 1908624 2020896 2147202 2544832 2694528 2862936 3817248 4041792 4294404 5089664 5725872 7634496 8083584 8588808 11451744 15268992 17177616 22903488 34355232 45806976 68710464 137420928