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14153480 = 23511191693
BaseRepresentation
bin110101111111…
…011100001000
3222122001220222
4311333130020
512110402410
61223205212
7231205535
oct65773410
928561828
1014153480
117a977a0
1248a6808
132c17253
141c45d8c
151398955
hexd7f708

14153480 has 64 divisors (see below), whose sum is σ = 36590400. Its totient is φ = 4872960.

The previous prime is 14153473. The next prime is 14153483. The reversal of 14153480 is 8435141.

It is a super-2 number, since 2×141534802 = 400641992220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14153483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7514 + ... + 9206.

It is an arithmetic number, because the mean of its divisors is an integer number (571725).

Almost surely, 214153480 is an apocalyptic number.

14153480 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 14153480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18295200).

14153480 is an abundant number, since it is smaller than the sum of its proper divisors (22436920).

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

14153480 is a wasteful number, since it uses less digits than its factorization.

14153480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 14153480 is about 3762.1111094703. Note that the first 4 decimals coincide. The cubic root of 14153480 is about 241.8917622651.

The spelling of 14153480 in words is "fourteen million, one hundred fifty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 1693 2090 3386 4180 6772 8360 8465 13544 16930 18623 32167 33860 37246 64334 67720 74492 93115 128668 148984 160835 186230 257336 321670 353837 372460 643340 707674 744920 1286680 1415348 1769185 2830696 3538370 7076740 14153480