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14630720 = 265133517
BaseRepresentation
bin110111110011…
…111101000000
31000112022120112
4313303331000
512221140340
61241330452
7235234106
oct67637500
930468515
1014630720
118293305
124a96a28
133053540
141d2bc76
151440065
hexdf3f40

14630720 has 56 divisors (see below), whose sum is σ = 37530024. Its totient is φ = 5400576.

The previous prime is 14630713. The next prime is 14630731. The reversal of 14630720 is 2703641.

It can be written as a sum of positive squares in 4 ways, for example, as 2408704 + 12222016 = 1552^2 + 3496^2 .

It is a congruent number.

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, 2402 + ... + 5918.

It is an arithmetic number, because the mean of its divisors is an integer number (670179).

Almost surely, 214630720 is an apocalyptic number.

14630720 is a gapful number since it is divisible by the number (10) 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 14630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18765012).

14630720 is an abundant number, since it is smaller than the sum of its proper divisors (22899304).

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

14630720 is a wasteful number, since it uses less digits than its factorization.

14630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3547 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 14630720 is about 3825.0124182805. The cubic root of 14630720 is about 244.5805400696.

The spelling of 14630720 in words is "fourteen million, six hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 3517 4160 7034 14068 17585 28136 35170 45721 56272 70340 91442 112544 140680 182884 225088 228605 281360 365768 457210 562720 731536 914420 1125440 1463072 1828840 2926144 3657680 7315360 14630720