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138850440 = 23354371379
BaseRepresentation
bin10000100011010…
…11000010001000
3100200021022222220
420101223002020
5241021203230
621440014040
73304131531
oct1021530210
9320238886
10138850440
1171417433
123a601320
13229c7031
1414625688
15c2cad10
hex846b088

138850440 has 128 divisors (see below), whose sum is σ = 433382400. Its totient is φ = 35562240.

The previous prime is 138850429. The next prime is 138850469. The reversal of 138850440 is 44058831.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366171 + ... + 366549.

It is an arithmetic number, because the mean of its divisors is an integer number (3385800).

Almost surely, 2138850440 is an apocalyptic number.

138850440 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 138850440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216691200).

138850440 is an abundant number, since it is smaller than the sum of its proper divisors (294531960).

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

138850440 is a wasteful number, since it uses less digits than its factorization.

138850440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 138850440 is about 11783.4816586610. The cubic root of 138850440 is about 517.8242920603.

The spelling of 138850440 in words is "one hundred thirty-eight million, eight hundred fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 71 86 120 129 142 172 213 215 258 284 344 355 379 426 430 516 568 645 710 758 852 860 1032 1065 1137 1290 1420 1516 1704 1720 1895 2130 2274 2580 2840 3032 3053 3790 4260 4548 5160 5685 6106 7580 8520 9096 9159 11370 12212 15160 15265 16297 18318 22740 24424 26909 30530 32594 36636 45480 45795 48891 53818 61060 65188 73272 80727 81485 91590 97782 107636 122120 130376 134545 161454 162970 183180 195564 215272 244455 269090 322908 325940 366360 391128 403635 488910 538180 645816 651880 807270 977820 1076360 1157087 1614540 1955640 2314174 3229080 3471261 4628348 5785435 6942522 9256696 11570870 13885044 17356305 23141740 27770088 34712610 46283480 69425220 138850440