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139924008 = 233272172333
BaseRepresentation
bin10000101011100…
…01001000101000
3100202021212122200
420111301020220
5241310032013
621515020200
73316222500
oct1025611050
9322255580
10139924008
1171a8aa84
123aa3a660
1322cb1893
1414824a00
15c43de73
hex8571228

139924008 has 144 divisors (see below), whose sum is σ = 466963380. Its totient is φ = 37610496.

The previous prime is 139923997. The next prime is 139924009. The reversal of 139924008 is 800429931.

It can be written as a sum of positive squares in 2 ways, for example, as 139287204 + 636804 = 11802^2 + 798^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139924009) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58810 + ... + 61142.

Almost surely, 2139924008 is an apocalyptic number.

139924008 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 139924008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233481690).

139924008 is an abundant number, since it is smaller than the sum of its proper divisors (327039372).

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

139924008 is a wasteful number, since it uses less digits than its factorization.

139924008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 139924008 is about 11828.9478822083. The cubic root of 139924008 is about 519.1554436548.

The spelling of 139924008 in words is "one hundred thirty-nine million, nine hundred twenty-four thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 49 51 56 63 68 72 84 98 102 119 126 136 147 153 168 196 204 238 252 294 306 357 392 408 441 476 504 588 612 714 833 882 952 1071 1176 1224 1428 1666 1764 2142 2333 2499 2856 3332 3528 4284 4666 4998 6664 6999 7497 8568 9332 9996 13998 14994 16331 18664 19992 20997 27996 29988 32662 39661 41994 48993 55992 59976 65324 79322 83988 97986 114317 118983 130648 146979 158644 167976 195972 228634 237966 277627 293958 317288 342951 356949 391944 457268 475932 555254 587916 685902 713898 832881 914536 951864 1028853 1110508 1175832 1371804 1427796 1665762 1943389 2057706 2221016 2498643 2743608 2855592 3331524 3886778 4115412 4997286 5830167 6663048 7773556 8230824 9994572 11660334 15547112 17490501 19989144 23320668 34981002 46641336 69962004 139924008