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14139792 = 243371461
BaseRepresentation
bin110101111100…
…000110010000
3222121101011000
4311330012100
512104433132
61223022000
7231120612
oct65740620
928541130
1014139792
117a88487
12489a900
132c10c54
141c40db2
15139487c
hexd7c190

14139792 has 80 divisors (see below), whose sum is σ = 41247360. Its totient is φ = 4636800.

The previous prime is 14139773. The next prime is 14139821. The reversal of 14139792 is 29793141.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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 15 ways as a sum of consecutive naturals, for example, 30442 + ... + 30902.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 214139792 is an apocalyptic number.

14139792 is a gapful number since it is divisible by the number (12) 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 14139792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

14139792 is an abundant number, since it is smaller than the sum of its proper divisors (27107568).

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

14139792 is a wasteful number, since it uses less digits than its factorization.

14139792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 537 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 14139792 is about 3760.2914780639. The cubic root of 14139792 is about 241.8137583068.

The spelling of 14139792 in words is "fourteen million, one hundred thirty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 108 142 144 213 216 284 426 432 461 568 639 852 922 1136 1278 1383 1704 1844 1917 2556 2766 3408 3688 3834 4149 5112 5532 7376 7668 8298 10224 11064 12447 15336 16596 22128 24894 30672 32731 33192 49788 65462 66384 98193 99576 130924 196386 199152 261848 294579 392772 523696 589158 785544 883737 1178316 1571088 1767474 2356632 3534948 4713264 7069896 14139792