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139307364 = 22347239257
BaseRepresentation
bin10000100110110…
…10100101100100
3100201010112210000
420103122211210
5241130313424
621453501300
73311043630
oct1023324544
9321115700
10139307364
11716a9759
123a7a1830
1322b26cc1
1414703dc0
15c36b3c9
hex84da964

139307364 has 120 divisors (see below), whose sum is σ = 419569920. Its totient is φ = 39481344.

The previous prime is 139307353. The next prime is 139307369. The reversal of 139307364 is 463703931.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (139307369) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 541924 + ... + 542180.

It is an arithmetic number, because the mean of its divisors is an integer number (3496416).

Almost surely, 2139307364 is an apocalyptic number.

139307364 is a gapful number since it is divisible by the number (14) 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 139307364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209784960).

139307364 is an abundant number, since it is smaller than the sum of its proper divisors (280262556).

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

139307364 is a wasteful number, since it uses less digits than its factorization.

139307364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 139307364 is about 11802.8540616242. The cubic root of 139307364 is about 518.3916826083.

The spelling of 139307364 in words is "one hundred thirty-nine million, three hundred seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 239 252 257 324 378 478 514 567 717 756 771 956 1028 1134 1434 1542 1673 1799 2151 2268 2313 2868 3084 3346 3598 4302 4626 5019 5397 6453 6692 6939 7196 8604 9252 10038 10794 12906 13878 15057 16191 19359 20076 20817 21588 25812 27756 30114 32382 38718 41634 45171 48573 60228 61423 64764 77436 83268 90342 97146 122846 135513 145719 180684 184269 194292 245692 271026 291438 368538 429961 542052 552807 582876 737076 859922 1105614 1289883 1658421 1719844 2211228 2579766 3316842 3869649 4975263 5159532 6633684 7739298 9950526 11608947 15478596 19901052 23217894 34826841 46435788 69653682 139307364