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14057484 = 2237374523
BaseRepresentation
bin110101101000…
…000000001100
3222110012020120
4311220000030
512044314414
61221144540
7230325630
oct65500014
928405216
1014057484
117a31661
12485b150
132bb264c
141c1cdc0
15137a2a9
hexd6800c

14057484 has 48 divisors (see below), whose sum is σ = 38508288. Its totient is φ = 3907008.

The previous prime is 14057467. The next prime is 14057501. The reversal of 14057484 is 48475041.

It is an interprime number because it is at equal distance from previous prime (14057467) and next prime (14057501).

It is a super-3 number, since 3×140574843 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 847 + ... + 5369.

It is an arithmetic number, because the mean of its divisors is an integer number (802256).

Almost surely, 214057484 is an apocalyptic number.

14057484 is a gapful number since it is divisible by the number (14) 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 14057484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19254144).

14057484 is an abundant number, since it is smaller than the sum of its proper divisors (24450804).

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

14057484 is a wasteful number, since it uses less digits than its factorization.

14057484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4574 (or 4572 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 14057484 is about 3749.3311403502. The cubic root of 14057484 is about 241.3436441030.

It can be divided in two parts, 14057 and 484, that added together give a palindrome (14541).

The spelling of 14057484 in words is "fourteen million, fifty-seven thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1554 3108 4523 9046 13569 18092 27138 31661 54276 63322 94983 126644 167351 189966 334702 379932 502053 669404 1004106 1171457 2008212 2342914 3514371 4685828 7028742 14057484