Search a number
-
+
139592100 = 2235217101271
BaseRepresentation
bin10000101001000…
…00000110100100
3100201200000100210
420110200012210
5241213421400
621503535420
73313341024
oct1024400644
9321600323
10139592100
117188367a
123a8ba570
1322bc679b
1414779a84
15c3c5950
hex85201a4

139592100 has 144 divisors (see below), whose sum is σ = 433472256. Its totient is φ = 34560000.

The previous prime is 139592041. The next prime is 139592111. The reversal of 139592100 is 1295931.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 514965 + ... + 515235.

It is an arithmetic number, because the mean of its divisors is an integer number (3010224).

Almost surely, 2139592100 is an apocalyptic number.

139592100 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 139592100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216736128).

139592100 is an abundant number, since it is smaller than the sum of its proper divisors (293880156).

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

139592100 is a wasteful number, since it uses less digits than its factorization.

139592100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 139592100 is about 11814.9100716002. The cubic root of 139592100 is about 518.7446295471.

The spelling of 139592100 in words is "one hundred thirty-nine million, five hundred ninety-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 101 102 150 170 202 204 255 271 300 303 340 404 425 505 510 542 606 813 850 1010 1020 1084 1212 1275 1355 1515 1626 1700 1717 2020 2525 2550 2710 3030 3252 3434 4065 4607 5050 5100 5151 5420 6060 6775 6868 7575 8130 8585 9214 10100 10302 13550 13821 15150 16260 17170 18428 20325 20604 23035 25755 27100 27371 27642 30300 34340 40650 42925 46070 51510 54742 55284 69105 81300 82113 85850 92140 103020 109484 115175 128775 136855 138210 164226 171700 230350 257550 273710 276420 328452 345525 410565 460700 465307 515100 547420 684275 691050 821130 930614 1368550 1382100 1395921 1642260 1861228 2052825 2326535 2737100 2791842 4105650 4653070 5583684 6979605 8211300 9306140 11632675 13959210 23265350 27918420 34898025 46530700 69796050 139592100