Search a number
-
+
14956992 = 2632231129
BaseRepresentation
bin111001000011…
…100111000000
31001010220010200
4321003213000
512312110432
61252325200
7241063251
oct71034700
931126120
1014956992
118496456
125013800
133138bbb
141db4b28
1514a6a7c
hexe439c0

14956992 has 84 divisors (see below), whose sum is σ = 44775120. Its totient is φ = 4764672.

The previous prime is 14956987. The next prime is 14956999. The reversal of 14956992 is 29965941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14956999) 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, 12684 + ... + 13812.

Almost surely, 214956992 is an apocalyptic number.

14956992 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 14956992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22387560).

14956992 is an abundant number, since it is smaller than the sum of its proper divisors (29818128).

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

14956992 is a wasteful number, since it uses less digits than its factorization.

14956992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1157 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 14956992 is about 3867.4270516714. The cubic root of 14956992 is about 246.3852776946.

The spelling of 14956992 in words is "fourteen million, nine hundred fifty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1129 1472 1656 2208 2258 3312 3387 4416 4516 6624 6774 9032 10161 13248 13548 18064 20322 25967 27096 36128 40644 51934 54192 72256 77901 81288 103868 108384 155802 162576 207736 216768 233703 311604 325152 415472 467406 623208 650304 830944 934812 1246416 1661888 1869624 2492832 3739248 4985664 7478496 14956992