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14977024 = 21171103
BaseRepresentation
bin111001001000…
…100000000000
31001011220121121
4321020200000
512313231044
61253002024
7241205536
oct71104000
931156547
1014977024
1184aa507
125023314
13314505a
141dbc156
1514ac984
hexe48800

14977024 has 48 divisors (see below), whose sum is σ = 30663360. Its totient is φ = 7311360.

The previous prime is 14977003. The next prime is 14977063. The reversal of 14977024 is 42077941.

It is a super-2 number, since 2×149770242 = 448622495793152, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 145357 + ... + 145459.

It is an arithmetic number, because the mean of its divisors is an integer number (638820).

Almost surely, 214977024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14977024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15331680).

14977024 is an abundant number, since it is smaller than the sum of its proper divisors (15686336).

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

14977024 is an equidigital number, since it uses as much as digits as its factorization.

14977024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 14977024 is about 3870.0160206387. The cubic root of 14977024 is about 246.4952237786.

The spelling of 14977024 in words is "fourteen million, nine hundred seventy-seven thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 71 103 128 142 206 256 284 412 512 568 824 1024 1136 1648 2048 2272 3296 4544 6592 7313 9088 13184 14626 18176 26368 29252 36352 52736 58504 72704 105472 117008 145408 210944 234016 468032 936064 1872128 3744256 7488512 14977024