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14153130 = 2345101173
BaseRepresentation
bin110101111111…
…010110101010
3222122001110000
4311333112222
512110400010
61223203430
7231204525
oct65772652
928561400
1014153130
117a97502
1248a6576
132c17044
141c45bbc
1513987c0
hexd7f5aa

14153130 has 80 divisors (see below), whose sum is σ = 38655144. Its totient is φ = 3715200.

The previous prime is 14153123. The next prime is 14153177. The reversal of 14153130 is 3135141.

It can be written as a sum of positive squares in 4 ways, for example, as 14085009 + 68121 = 3753^2 + 261^2 .

It is a super-2 number, since 2×141531302 = 400622177593800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81724 + ... + 81896.

Almost surely, 214153130 is an apocalyptic number.

14153130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14153130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19327572).

14153130 is an abundant number, since it is smaller than the sum of its proper divisors (24502014).

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

14153130 is a wasteful number, since it uses less digits than its factorization.

14153130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 14153130 is about 3762.0645927469. The cubic root of 14153130 is about 241.8897683429.

Adding to 14153130 its reverse (3135141), we get a palindrome (17288271).

The spelling of 14153130 in words is "fourteen million, one hundred fifty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 101 135 162 173 202 270 303 346 405 505 519 606 810 865 909 1010 1038 1515 1557 1730 1818 2595 2727 3030 3114 4545 4671 5190 5454 7785 8181 9090 9342 13635 14013 15570 16362 17473 23355 27270 28026 34946 40905 46710 52419 70065 81810 87365 104838 140130 157257 174730 262095 314514 471771 524190 786285 943542 1415313 1572570 2358855 2830626 4717710 7076565 14153130