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14153024 = 2619103113
BaseRepresentation
bin110101111111…
…010101000000
3222122001022002
4311333111000
512110344044
61223203132
7231204314
oct65772500
928561262
1014153024
117a97416
1248a64a8
132c16c92
141c45b44
15139874e
hexd7f540

14153024 has 56 divisors (see below), whose sum is σ = 30114240. Its totient is φ = 6580224.

The previous prime is 14153023. The next prime is 14153033. The reversal of 14153024 is 42035141.

It is a junction number, because it is equal to n+sod(n) for n = 14152987 and 14153005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14153023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125192 + ... + 125304.

Almost surely, 214153024 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 14153024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15057120).

14153024 is an abundant number, since it is smaller than the sum of its proper divisors (15961216).

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

14153024 is a wasteful number, since it uses less digits than its factorization.

14153024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 14153024 is about 3762.0505047115. The cubic root of 14153024 is about 241.8891644628.

Adding to 14153024 its reverse (42035141), we get a palindrome (56188165).

The spelling of 14153024 in words is "fourteen million, one hundred fifty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 103 113 152 206 226 304 412 452 608 824 904 1216 1648 1808 1957 2147 3296 3616 3914 4294 6592 7232 7828 8588 11639 15656 17176 23278 31312 34352 46556 62624 68704 93112 125248 137408 186224 221141 372448 442282 744896 884564 1769128 3538256 7076512 14153024