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139850496 = 283320233
BaseRepresentation
bin10000101010111…
…11001100000000
3100202011010211000
420111133030000
5241300203441
621513252000
73315465252
oct1025371400
9322133730
10139850496
1171a3a825
123aa04000
1322c87296
1414805cd2
15c4272b6
hex855f300

139850496 has 72 divisors (see below), whose sum is σ = 413582960. Its totient is φ = 46614528.

The previous prime is 139850489. The next prime is 139850509. The reversal of 139850496 is 694058931.

It is a happy number.

139850496 is a `hidden beast` number, since 139 + 8 + 504 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1398504962 = 39116322462892032, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 3205 + ... + 17028.

Almost surely, 2139850496 is an apocalyptic number.

139850496 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 139850496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206791480).

139850496 is an abundant number, since it is smaller than the sum of its proper divisors (273732464).

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

139850496 is an equidigital number, since it uses as much as digits as its factorization.

139850496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20258 (or 20238 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 139850496 is about 11825.8401815685. The cubic root of 139850496 is about 519.0645113434.

The spelling of 139850496 in words is "one hundred thirty-nine million, eight hundred fifty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 20233 40466 60699 80932 121398 161864 182097 242796 323728 364194 485592 546291 647456 728388 971184 1092582 1294912 1456776 1942368 2185164 2589824 2913552 3884736 4370328 5179648 5827104 7769472 8740656 11654208 15538944 17481312 23308416 34962624 46616832 69925248 139850496