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14970432 = 263103757
BaseRepresentation
bin111001000110…
…111001000000
31001011120120110
4321012321000
512313023212
61252511320
7241150401
oct71067100
931146513
1014970432
1184a5564
12501b540
133142059
141db99a8
1514aaa3c
hexe46e40

14970432 has 56 divisors (see below), whose sum is σ = 40046656. Its totient is φ = 4935168.

The previous prime is 14970419. The next prime is 14970457. The reversal of 14970432 is 23407941.

It is a happy number.

It is a super-2 number, since 2×149704322 = 448227668533248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14970432.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19398 + ... + 20154.

Almost surely, 214970432 is an apocalyptic number.

14970432 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 14970432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20023328).

14970432 is an abundant number, since it is smaller than the sum of its proper divisors (25076224).

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

14970432 is a wasteful number, since it uses less digits than its factorization.

14970432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 14970432 is about 3869.1642508428. The cubic root of 14970432 is about 246.4590542662.

The spelling of 14970432 in words is "fourteen million, nine hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 192 206 309 412 618 757 824 1236 1514 1648 2271 2472 3028 3296 4542 4944 6056 6592 9084 9888 12112 18168 19776 24224 36336 48448 72672 77971 145344 155942 233913 311884 467826 623768 935652 1247536 1871304 2495072 3742608 4990144 7485216 14970432