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14167992 = 23331137139
BaseRepresentation
bin110110000010…
…111110111000
3222122210211110
4312002332320
512111333432
61223400320
7231266046
oct66027670
928583743
1014167992
117aa7693
1248b30a0
132c20a37
141c4b396
15139cdcc
hexd82fb8

14167992 has 64 divisors (see below), whose sum is σ = 37094400. Its totient is φ = 4504320.

The previous prime is 14167973. The next prime is 14168039. The reversal of 14167992 is 29976141.

It is a self number, because there is not a number n which added to its sum of digits gives 14167992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101859 + ... + 101997.

It is an arithmetic number, because the mean of its divisors is an integer number (579600).

Almost surely, 214167992 is an apocalyptic number.

14167992 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 14167992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18547200).

14167992 is an abundant number, since it is smaller than the sum of its proper divisors (22926408).

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

14167992 is a wasteful number, since it uses less digits than its factorization.

14167992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 312 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 14167992 is about 3764.0393196671. The cubic root of 14167992 is about 241.9744070560.

The spelling of 14167992 in words is "fourteen million, one hundred sixty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 137 139 186 248 274 278 372 411 417 548 556 744 822 834 1096 1112 1644 1668 3288 3336 4247 4309 8494 8618 12741 12927 16988 17236 19043 25482 25854 33976 34472 38086 50964 51708 57129 76172 101928 103416 114258 152344 228516 457032 590333 1180666 1770999 2361332 3541998 4722664 7083996 14167992