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139321600 = 2852111979
BaseRepresentation
bin10000100110111…
…10000100000000
3100201011021022021
420103132010000
5241131242400
621454051224
73311133265
oct1023360400
9321137267
10139321600
1171709420
123a7a9b14
1322b30622
141470926c
15c37071a
hex84de100

139321600 has 108 divisors (see below), whose sum is σ = 376382160. Its totient is φ = 50636800.

The previous prime is 139321561. The next prime is 139321601. The reversal of 139321600 is 6123931.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (139321601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69411 + ... + 71389.

It is an arithmetic number, because the mean of its divisors is an integer number (3485020).

Almost surely, 2139321600 is an apocalyptic number.

139321600 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 139321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188191080).

139321600 is an abundant number, since it is smaller than the sum of its proper divisors (237060560).

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

139321600 is a wasteful number, since it uses less digits than its factorization.

139321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 139321600 is about 11803.4571206914. The cubic root of 139321600 is about 518.4093403794.

The spelling of 139321600 in words is "one hundred thirty-nine million, three hundred twenty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 256 275 320 352 400 440 550 640 704 800 880 1100 1280 1408 1600 1760 1979 2200 2816 3200 3520 3958 4400 6400 7040 7916 8800 9895 14080 15832 17600 19790 21769 31664 35200 39580 43538 49475 63328 70400 79160 87076 98950 108845 126656 158320 174152 197900 217690 253312 316640 348304 395800 435380 506624 544225 633280 696608 791600 870760 1088450 1266560 1393216 1583200 1741520 2176900 2533120 2786432 3166400 3483040 4353800 5572864 6332800 6966080 8707600 12665600 13932160 17415200 27864320 34830400 69660800 139321600