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138022272 = 273339937
BaseRepresentation
bin10000011101000…
…00110110000000
3100121201020222000
420032200312000
5240313203042
621410144000
73264112203
oct1016406600
9317636860
10138022272
1170a011a3
123a282000
13227970ab
141448b93a
15c1b574c
hex83a0d80

138022272 has 64 divisors (see below), whose sum is σ = 407367600. Its totient is φ = 46006272.

The previous prime is 138022267. The next prime is 138022301. The reversal of 138022272 is 272220831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 16513 + ... + 23424.

Almost surely, 2138022272 is an apocalyptic number.

138022272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138022272 is an abundant number, since it is smaller than the sum of its proper divisors (269345328).

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

138022272 is an equidigital number, since it uses as much as digits as its factorization.

138022272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39960 (or 39942 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 138022272 is about 11748.2880454984. The cubic root of 138022272 is about 516.7927241960.

The spelling of 138022272 in words is "one hundred thirty-eight million, twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 39937 79874 119811 159748 239622 319496 359433 479244 638992 718866 958488 1078299 1277984 1437732 1916976 2156598 2555968 2875464 3833952 4313196 5111936 5750928 7667904 8626392 11501856 15335808 17252784 23003712 34505568 46007424 69011136 138022272