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139788288 = 2163379
BaseRepresentation
bin10000101010100…
…00000000000000
3100202000222111000
420111100000000
5241241211123
621512052000
73315116013
oct1025200000
9322028430
10139788288
11719a8012
123a994000
1322c64b83
14147cb37a
15c413b43
hex8550000

139788288 has 136 divisors (see below), whose sum is σ = 419427200. Its totient is φ = 46006272.

The previous prime is 139788283. The next prime is 139788289. The reversal of 139788288 is 882887931.

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

Its product of digits (1548288) is a multiple of the sum of its prime divisors (84).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139788281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1769433 + ... + 1769511.

Almost surely, 2139788288 is an apocalyptic number.

139788288 is a gapful number since it is divisible by the number (18) 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 139788288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209713600).

139788288 is an abundant number, since it is smaller than the sum of its proper divisors (279638912).

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

139788288 is an frugal number, since it uses more digits than its factorization.

139788288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 84 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The square root of 139788288 is about 11823.2097164856. The cubic root of 139788288 is about 518.9875368720.

The spelling of 139788288 in words is "one hundred thirty-nine million, seven hundred eighty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 128 144 158 192 216 237 256 288 316 384 432 474 512 576 632 711 768 864 948 1024 1152 1264 1422 1536 1728 1896 2048 2133 2304 2528 2844 3072 3456 3792 4096 4266 4608 5056 5688 6144 6912 7584 8192 8532 9216 10112 11376 12288 13824 15168 16384 17064 18432 20224 22752 24576 27648 30336 32768 34128 36864 40448 45504 49152 55296 60672 65536 68256 73728 80896 91008 98304 110592 121344 136512 147456 161792 182016 196608 221184 242688 273024 294912 323584 364032 442368 485376 546048 589824 647168 728064 884736 970752 1092096 1294336 1456128 1769472 1941504 2184192 2588672 2912256 3883008 4368384 5177344 5824512 7766016 8736768 11649024 15532032 17473536 23298048 34947072 46596096 69894144 139788288