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139700400 = 24352716631
BaseRepresentation
bin10000101001110…
…10100010110000
3100201212111220220
420110322202300
5241230403100
621510133040
73314301540
oct1024724260
9321774826
10139700400
1171947a84
123a951180
1322c33b78
14147a7320
15c3e7aa0
hex853a8b0

139700400 has 120 divisors (see below), whose sum is σ = 511467264. Its totient is φ = 31929600.

The previous prime is 139700387. The next prime is 139700411. The reversal of 139700400 is 4007931.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 85 + ... + 16715.

Almost surely, 2139700400 is an apocalyptic number.

139700400 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 139700400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255733632).

139700400 is an abundant number, since it is smaller than the sum of its proper divisors (371766864).

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

139700400 is a wasteful number, since it uses less digits than its factorization.

139700400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16659 (or 16648 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 139700400 is about 11819.4923748865. The cubic root of 139700400 is about 518.8787477408.

The spelling of 139700400 in words is "one hundred thirty-nine million, seven hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 16631 33262 49893 66524 83155 99786 116417 133048 166310 199572 232834 249465 266096 332620 349251 399144 415775 465668 498930 582085 665240 698502 798288 831550 931336 997860 1164170 1247325 1330480 1397004 1663100 1746255 1862672 1995720 2328340 2494650 2794008 2910425 3326200 3492510 3991440 4656680 4989300 5588016 5820850 6652400 6985020 8731275 9313360 9978600 11641700 13970040 17462550 19957200 23283400 27940080 34925100 46566800 69850200 139700400