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138852870 = 235132912277
BaseRepresentation
bin10000100011010…
…11101000000110
3100200021110022220
420101223220012
5241021242440
621440033210
73304141602
oct1021535006
9320243286
10138852870
1171419242
123a602806
13229c8180
1414626502
15c2cb8d0
hex846ba06

138852870 has 64 divisors (see below), whose sum is σ = 371286720. Its totient is φ = 32997888.

The previous prime is 138852869. The next prime is 138852871. The reversal of 138852870 is 78258831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (138852869) and next prime (138852871).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138852871) 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 31 ways as a sum of consecutive naturals, for example, 5172 + ... + 17448.

It is an arithmetic number, because the mean of its divisors is an integer number (5801355).

Almost surely, 2138852870 is an apocalyptic number.

138852870 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 138852870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185643360).

138852870 is an abundant number, since it is smaller than the sum of its proper divisors (232433850).

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

138852870 is a wasteful number, since it uses less digits than its factorization.

138852870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12329.

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 138852870 is about 11783.5847686517. The cubic root of 138852870 is about 517.8273128302.

The spelling of 138852870 in words is "one hundred thirty-eight million, eight hundred fifty-two thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 174 195 290 377 390 435 754 870 1131 1885 2262 3770 5655 11310 12277 24554 36831 61385 73662 122770 159601 184155 319202 356033 368310 478803 712066 798005 957606 1068099 1596010 1780165 2136198 2394015 3560330 4628429 4788030 5340495 9256858 10680990 13885287 23142145 27770574 46284290 69426435 138852870