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14600970 = 2325533061
BaseRepresentation
bin110111101100…
…101100001010
31000110210202200
4313230230022
512214212340
61240541030
7235051266
oct67545412
930423680
1014600970
118272a1a
124a81776
133042b37
141d210a6
151436330
hexdecb0a

14600970 has 48 divisors (see below), whose sum is σ = 38691432. Its totient is φ = 3818880.

The previous prime is 14600959. The next prime is 14600983. The reversal of 14600970 is 7900641.

It can be written as a sum of positive squares in 4 ways, for example, as 14538969 + 62001 = 3813^2 + 249^2 .

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 3240 + ... + 6300.

Almost surely, 214600970 is an apocalyptic number.

14600970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14600970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19345716).

14600970 is an abundant number, since it is smaller than the sum of its proper divisors (24090462).

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

14600970 is a wasteful number, since it uses less digits than its factorization.

14600970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 14600970 is about 3821.1215631016. The cubic root of 14600970 is about 244.4146514807.

The spelling of 14600970 in words is "fourteen million, six hundred thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 3061 4770 6122 9183 15305 18366 27549 30610 45915 55098 91830 137745 162233 275490 324466 486699 811165 973398 1460097 1622330 2433495 2920194 4866990 7300485 14600970