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138869760 = 210359041
BaseRepresentation
bin10000100011011…
…11110000000000
3100200022022111110
420101233300000
5241022313020
621440243320
73304242051
oct1021576000
9320268443
10138869760
117142a9a7
123a610540
1322a02a73
141462c728
15c2d18e0
hex846fc00

138869760 has 88 divisors (see below), whose sum is σ = 444215376. Its totient is φ = 37027840.

The previous prime is 138869741. The next prime is 138869771. The reversal of 138869760 is 67968831.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 10840 + ... + 19880.

It is an arithmetic number, because the mean of its divisors is an integer number (5047902).

Almost surely, 2138869760 is an apocalyptic number.

138869760 is a gapful number since it is divisible by the number (10) 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 138869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222107688).

138869760 is an abundant number, since it is smaller than the sum of its proper divisors (305345616).

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

138869760 is an equidigital number, since it uses as much as digits as its factorization.

138869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9069 (or 9051 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 138869760 is about 11784.3014218069. The cubic root of 138869760 is about 517.8483080719.

The spelling of 138869760 in words is "one hundred thirty-eight million, eight hundred sixty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 9041 15360 18082 27123 36164 45205 54246 72328 90410 108492 135615 144656 180820 216984 271230 289312 361640 433968 542460 578624 723280 867936 1084920 1157248 1446560 1735872 2169840 2314496 2893120 3471744 4339680 4628992 5786240 6943488 8679360 9257984 11572480 13886976 17358720 23144960 27773952 34717440 46289920 69434880 138869760