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138786240 = 2635144569
BaseRepresentation
bin10000100010110…
…11010111000000
3100200011001221010
420101123113000
5241012124430
621434400520
73303443415
oct1021332700
9320131833
10138786240
117138317a
123a590140
13229a3a48
141460a10c
15c2b6cb0
hex845b5c0

138786240 has 56 divisors (see below), whose sum is σ = 440649360. Its totient is φ = 37009408.

The previous prime is 138786239. The next prime is 138786259. The reversal of 138786240 is 42687831.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 71325 + ... + 73244.

Almost surely, 2138786240 is an apocalyptic number.

138786240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138786240 is an abundant number, since it is smaller than the sum of its proper divisors (301863120).

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

138786240 is a wasteful number, since it uses less digits than its factorization.

138786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144589 (or 144579 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 138786240 is about 11780.7571912844. The cubic root of 138786240 is about 517.7444712964.

The spelling of 138786240 in words is "one hundred thirty-eight million, seven hundred eighty-six 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 96 120 160 192 240 320 480 960 144569 289138 433707 578276 722845 867414 1156552 1445690 1734828 2168535 2313104 2891380 3469656 4337070 4626208 5782760 6939312 8674140 9252416 11565520 13878624 17348280 23131040 27757248 34696560 46262080 69393120 138786240