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138024870 = 235171272131
BaseRepresentation
bin10000011101000…
…01011110100110
3100121201101112020
420032201132212
5240313243440
621410204010
73264122604
oct1016413646
9317641466
10138024870
1170a03145
123a283606
1322798329
141448c874
15c1b63d0
hex83a17a6

138024870 has 64 divisors (see below), whose sum is σ = 353673216. Its totient is φ = 34352640.

The previous prime is 138024869. The next prime is 138024893. The reversal of 138024870 is 78420831.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 63705 + ... + 65835.

It is an arithmetic number, because the mean of its divisors is an integer number (5526144).

Almost surely, 2138024870 is an apocalyptic number.

138024870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138024870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176836608).

138024870 is an abundant number, since it is smaller than the sum of its proper divisors (215648346).

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

138024870 is a wasteful number, since it uses less digits than its factorization.

138024870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285.

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 138024870 is about 11748.3986142793. The cubic root of 138024870 is about 516.7959667139.

The spelling of 138024870 in words is "one hundred thirty-eight million, twenty-four thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 127 170 254 255 381 510 635 762 1270 1905 2131 2159 3810 4262 4318 6393 6477 10655 10795 12786 12954 21310 21590 31965 32385 36227 63930 64770 72454 108681 181135 217362 270637 362270 541274 543405 811911 1086810 1353185 1623822 2706370 4059555 4600829 8119110 9201658 13802487 23004145 27604974 46008290 69012435 138024870