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14188992 = 263671103
BaseRepresentation
bin110110001000…
…000111000000
3222200212122020
4312020013000
512113021432
61224041440
7231414216
oct66100700
928625566
1014188992
118011444
124903280
132c2a46c
141c54cb6
1513a422c
hexd881c0

14188992 has 56 divisors (see below), whose sum is σ = 38136576. Its totient is φ = 4654848.

The previous prime is 14188973. The next prime is 14188997. The reversal of 14188992 is 29988141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14188997) 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, 12313 + ... + 13415.

Almost surely, 214188992 is an apocalyptic number.

14188992 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 14188992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19068288).

14188992 is an abundant number, since it is smaller than the sum of its proper divisors (23947584).

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

14188992 is a wasteful number, since it uses less digits than its factorization.

14188992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1175 counting only the distinct ones).

The product of its digits is 41472, while the sum is 42.

The square root of 14188992 is about 3766.8278431593. The cubic root of 14188992 is about 242.0939006772.

The spelling of 14188992 in words is "fourteen million, one hundred eighty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 402 536 804 1072 1103 1608 2144 2206 3216 3309 4288 4412 6432 6618 8824 12864 13236 17648 26472 35296 52944 70592 73901 105888 147802 211776 221703 295604 443406 591208 886812 1182416 1773624 2364832 3547248 4729664 7094496 14188992