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139677696 = 21234421
BaseRepresentation
bin10000101001101…
…01000000000000
3100201211100210000
420110311000000
5241224141241
621505440000
73314145414
oct1024650000
9321740700
10139677696
1171931a14
123a940000
1322c26732
141479cd44
15c3e0eb6
hex8535000

139677696 has 130 divisors (see below), whose sum is σ = 418248842. Its totient is φ = 46448640.

The previous prime is 139677677. The next prime is 139677709. The reversal of 139677696 is 696776931.

It can be written as a sum of positive squares in only one way, i.e., 74649600 + 65028096 = 8640^2 + 8064^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331566 + ... + 331986.

Almost surely, 2139677696 is an apocalyptic number.

139677696 is a gapful number since it is divisible by the number (16) 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 139677696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209124421).

139677696 is an abundant number, since it is smaller than the sum of its proper divisors (278571146).

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

139677696 is an frugal number, since it uses more digits than its factorization.

139677696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 426 counting only the distinct ones).

The product of its digits is 2571912, while the sum is 54.

The square root of 139677696 is about 11818.5318885215. The cubic root of 139677696 is about 518.8506369615.

The spelling of 139677696 in words is "one hundred thirty-nine million, six hundred seventy-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 421 432 512 576 648 768 842 864 1024 1152 1263 1296 1536 1684 1728 2048 2304 2526 2592 3072 3368 3456 3789 4096 4608 5052 5184 6144 6736 6912 7578 9216 10104 10368 11367 12288 13472 13824 15156 18432 20208 20736 22734 26944 27648 30312 34101 36864 40416 41472 45468 53888 55296 60624 68202 80832 82944 90936 107776 110592 121248 136404 161664 165888 181872 215552 242496 272808 323328 331776 363744 431104 484992 545616 646656 727488 862208 969984 1091232 1293312 1454976 1724416 1939968 2182464 2586624 2909952 3879936 4364928 5173248 5819904 7759872 8729856 11639808 15519744 17459712 23279616 34919424 46559232 69838848 139677696