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15042168 = 2332593541
BaseRepresentation
bin111001011000…
…011001111000
31001022012222100
4321120121320
512322322133
61254223400
7241566501
oct71303170
931265870
1015042168
118544449
125054b60
1331688bb
141dd7ba8
1514c1e13
hexe58678

15042168 has 48 divisors (see below), whose sum is σ = 41441400. Its totient is φ = 4927680.

The previous prime is 15042151. The next prime is 15042169. The reversal of 15042168 is 86124051.

15042168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15042169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2478 + ... + 6018.

Almost surely, 215042168 is an apocalyptic number.

15042168 is a gapful number since it is divisible by the number (18) 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 15042168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20720700).

15042168 is an abundant number, since it is smaller than the sum of its proper divisors (26399232).

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

15042168 is a wasteful number, since it uses less digits than its factorization.

15042168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 15042168 is about 3878.4233910186. The cubic root of 15042168 is about 246.8520917268.

The spelling of 15042168 in words is "fifteen million, forty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1416 2124 3541 4248 7082 10623 14164 21246 28328 31869 42492 63738 84984 127476 208919 254952 417838 626757 835676 1253514 1671352 1880271 2507028 3760542 5014056 7521084 15042168