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14880528 = 2432137949
BaseRepresentation
bin111000110000…
…111100010000
31001000000020200
4320300330100
512302134103
61250535200
7240324315
oct70607420
931000220
1014880528
118443a63
124b97500
133110160
141d94d0c
15148e0a3
hexe30f10

14880528 has 60 divisors (see below), whose sum is σ = 44853900. Its totient is φ = 4578048.

The previous prime is 14880487. The next prime is 14880577. The reversal of 14880528 is 82508841.

It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 10419984 = 2112^2 + 3228^2 .

It is a super-2 number, since 2×148805282 = 442860227117568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14880492 and 14880501.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2103 + ... + 5846.

It is an arithmetic number, because the mean of its divisors is an integer number (747565).

Almost surely, 214880528 is an apocalyptic number.

14880528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14880528 is an abundant number, since it is smaller than the sum of its proper divisors (29973372).

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

14880528 is a wasteful number, since it uses less digits than its factorization.

14880528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7976 (or 7967 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 14880528 is about 3857.5287426019. The cubic root of 14880528 is about 245.9646984839.

The spelling of 14880528 in words is "fourteen million, eight hundred eighty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 7949 15898 23847 31796 47694 63592 71541 95388 103337 127184 143082 190776 206674 286164 310011 381552 413348 572328 620022 826696 930033 1144656 1240044 1653392 1860066 2480088 3720132 4960176 7440264 14880528