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139124480 = 2851141241
BaseRepresentation
bin10000100101011…
…01111100000000
3100200210020220112
420102231330000
5241103440410
621445530452
73306352505
oct1022557400
9320706815
10139124480
1171594310
123a713a28
1322a919a1
14146974ac
15c332105
hex84adf00

139124480 has 144 divisors (see below), whose sum is σ = 373953888. Its totient is φ = 49152000.

The previous prime is 139124473. The next prime is 139124501. The reversal of 139124480 is 84421931.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 577160 + ... + 577400.

It is an arithmetic number, because the mean of its divisors is an integer number (2596902).

Almost surely, 2139124480 is an apocalyptic number.

139124480 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 139124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186976944).

139124480 is an abundant number, since it is smaller than the sum of its proper divisors (234829408).

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

139124480 is a wasteful number, since it uses less digits than its factorization.

139124480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 139124480 is about 11795.1040690619. The cubic root of 139124480 is about 518.1647334621.

The spelling of 139124480 in words is "one hundred thirty-nine million, one hundred twenty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 64 80 82 88 110 128 160 164 176 205 220 241 256 320 328 352 410 440 451 482 640 656 704 820 880 902 964 1205 1280 1312 1408 1640 1760 1804 1928 2255 2410 2624 2651 2816 3280 3520 3608 3856 4510 4820 5248 5302 6560 7040 7216 7712 9020 9640 9881 10496 10604 13120 13255 14080 14432 15424 18040 19280 19762 21208 26240 26510 28864 30848 36080 38560 39524 42416 49405 52480 53020 57728 61696 72160 77120 79048 84832 98810 106040 108691 115456 144320 154240 158096 169664 197620 212080 217382 288640 308480 316192 339328 395240 424160 434764 543455 577280 632384 678656 790480 848320 869528 1086910 1264768 1580960 1696640 1739056 2173820 2529536 3161920 3393280 3478112 4347640 6323840 6956224 8695280 12647680 13912448 17390560 27824896 34781120 69562240 139124480