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139034900 = 22523753709
BaseRepresentation
bin10000100100110…
…00000100010100
3100200121201000202
420102120010110
5241043104100
621444000032
73305530364
oct1022300424
9320551022
10139034900
1171532a84
123a690018
1322a5cc94
14146729a4
15c3157d5
hex8498114

139034900 has 72 divisors (see below), whose sum is σ = 316151640. Its totient is φ = 53015040.

The previous prime is 139034899. The next prime is 139034923. The reversal of 139034900 is 9430931.

It can be written as a sum of positive squares in 12 ways, for example, as 20921476 + 118113424 = 4574^2 + 10868^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195746 + ... + 196454.

It is an arithmetic number, because the mean of its divisors is an integer number (4390995).

Almost surely, 2139034900 is an apocalyptic number.

139034900 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 139034900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158075820).

139034900 is an abundant number, since it is smaller than the sum of its proper divisors (177116740).

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

139034900 is a wasteful number, since it uses less digits than its factorization.

139034900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 139034900 is about 11791.3061193406. The cubic root of 139034900 is about 518.0534969569.

The spelling of 139034900 in words is "one hundred thirty-nine million, thirty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 37 50 53 74 100 106 148 185 212 265 370 530 709 740 925 1060 1325 1418 1850 1961 2650 2836 3545 3700 3922 5300 7090 7844 9805 14180 17725 19610 26233 35450 37577 39220 49025 52466 70900 75154 98050 104932 131165 150308 187885 196100 262330 375770 524660 655825 751540 939425 1311650 1390349 1878850 2623300 2780698 3757700 5561396 6951745 13903490 27806980 34758725 69517450 139034900