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14191872 = 283171087
BaseRepresentation
bin110110001000…
…110100000000
3222201000120220
4312020310000
512113114442
61224103040
7231425502
oct66106400
928630526
1014191872
118013622
124904a80
132c2b876
141c55d72
1513a4eec
hexd88d00

14191872 has 72 divisors (see below), whose sum is σ = 40029696. Its totient is φ = 4448256.

The previous prime is 14191871. The next prime is 14191883. The reversal of 14191872 is 27819141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14191871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12513 + ... + 13599.

It is an arithmetic number, because the mean of its divisors is an integer number (555968).

Almost surely, 214191872 is an apocalyptic number.

14191872 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 14191872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20014848).

14191872 is an abundant number, since it is smaller than the sum of its proper divisors (25837824).

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

14191872 is a wasteful number, since it uses less digits than its factorization.

14191872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1109 counting only the distinct ones).

The product of its digits is 4032, while the sum is 33.

The square root of 14191872 is about 3767.2101082897. The cubic root of 14191872 is about 242.1102791784.

The spelling of 14191872 in words is "fourteen million, one hundred ninety-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1087 1088 1632 2174 2176 3261 3264 4348 4352 6522 6528 8696 13044 13056 17392 18479 26088 34784 36958 52176 55437 69568 73916 104352 110874 139136 147832 208704 221748 278272 295664 417408 443496 591328 834816 886992 1182656 1773984 2365312 3547968 4730624 7095936 14191872