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139224384 = 26321318593
BaseRepresentation
bin10000100110001…
…10010101000000
3100200222022221200
420103012111000
5241120140014
621452021200
73310246665
oct1023062500
9320868850
10139224384
1171652382
123a761800
1322ac82c0
14146c1a6c
15c351a09
hex84c6540

139224384 has 84 divisors (see below), whose sum is σ = 429781716. Its totient is φ = 42835968.

The previous prime is 139224383. The next prime is 139224401. The reversal of 139224384 is 483422931.

It can be written as a sum of positive squares in 2 ways, for example, as 48441600 + 90782784 = 6960^2 + 9528^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139224383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1809 + ... + 16784.

It is an arithmetic number, because the mean of its divisors is an integer number (5116449).

Almost surely, 2139224384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139224384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214890858).

139224384 is an abundant number, since it is smaller than the sum of its proper divisors (290557332).

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

139224384 is a wasteful number, since it uses less digits than its factorization.

139224384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18624 (or 18611 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 139224384 is about 11799.3382865312. The cubic root of 139224384 is about 518.2887335504.

The spelling of 139224384 in words is "one hundred thirty-nine million, two hundred twenty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 18593 37186 55779 74372 111558 148744 167337 223116 241709 297488 334674 446232 483418 594976 669348 725127 892464 966836 1189952 1338696 1450254 1784928 1933672 2175381 2677392 2900508 3569856 3867344 4350762 5354784 5801016 7734688 8701524 10709568 11602032 15469376 17403048 23204064 34806096 46408128 69612192 139224384