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138858240 = 283536161
BaseRepresentation
bin10000100011011…
…00111100000000
3100200021201200210
420101230330000
5241021430430
621440114120
73304163343
oct1021547400
9320251623
10138858240
1171422284
123a605940
13229ca751
141462845a
15c2cd2b0
hex846cf00

138858240 has 72 divisors (see below), whose sum is σ = 443490768. Its totient is φ = 37027840.

The previous prime is 138858229. The next prime is 138858259. The reversal of 138858240 is 42858831.

It is a super-2 number, since 2×1388582402 = 38563221631795200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14241 + ... + 21920.

It is an arithmetic number, because the mean of its divisors is an integer number (6159594).

Almost surely, 2138858240 is an apocalyptic number.

138858240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138858240 is an abundant number, since it is smaller than the sum of its proper divisors (304632528).

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

138858240 is an equidigital number, since it uses as much as digits as its factorization.

138858240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36185 (or 36171 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 138858240 is about 11783.8126258015. The cubic root of 138858240 is about 517.8339882337.

The spelling of 138858240 in words is "one hundred thirty-eight million, eight hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 36161 72322 108483 144644 180805 216966 289288 361610 433932 542415 578576 723220 867864 1084830 1157152 1446440 1735728 2169660 2314304 2892880 3471456 4339320 4628608 5785760 6942912 8678640 9257216 11571520 13885824 17357280 23143040 27771648 34714560 46286080 69429120 138858240