Search a number
-
+
14910672 = 2437199223
BaseRepresentation
bin111000111000…
…010011010000
31001001112121010
4320320103100
512304120142
61251330520
7240511230
oct70702320
931045533
1014910672
118464677
124bb0a40
133120aaa
141da1cc0
151497e9c
hexe384d0

14910672 has 80 divisors (see below), whose sum is σ = 44441600. Its totient is φ = 4219776.

The previous prime is 14910671. The next prime is 14910677. The reversal of 14910672 is 27601941.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14910671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66753 + ... + 66975.

It is an arithmetic number, because the mean of its divisors is an integer number (555520).

Almost surely, 214910672 is an apocalyptic number.

14910672 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 14910672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22220800).

14910672 is an abundant number, since it is smaller than the sum of its proper divisors (29530928).

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

14910672 is a wasteful number, since it uses less digits than its factorization.

14910672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 14910672 is about 3861.4339305496. The cubic root of 14910672 is about 246.1306728586.

The spelling of 14910672 in words is "fourteen million, nine hundred ten thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 199 223 336 398 446 597 669 796 892 1194 1338 1393 1561 1592 1784 2388 2676 2786 3122 3184 3568 4179 4683 4776 5352 5572 6244 8358 9366 9552 10704 11144 12488 16716 18732 22288 24976 33432 37464 44377 66864 74928 88754 133131 177508 266262 310639 355016 532524 621278 710032 931917 1065048 1242556 1863834 2130096 2485112 3727668 4970224 7455336 14910672