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13857004 = 227219612
BaseRepresentation
bin110100110111…
…000011101100
3222002000020101
4310313003230
512021411004
61213000444
7225532300
oct64670354
928060211
1013857004
117904a77
124783124
132b42315
141ba9d00
15133aba4
hexd370ec

13857004 has 54 divisors (see below), whose sum is σ = 30188340. Its totient is φ = 5533920.

The previous prime is 13857001. The next prime is 13857029. The reversal of 13857004 is 40075831.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (13857001) 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 17 ways as a sum of consecutive naturals, for example, 227134 + ... + 227194.

Almost surely, 213857004 is an apocalyptic number.

13857004 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 13857004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15094170).

13857004 is an abundant number, since it is smaller than the sum of its proper divisors (16331336).

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

13857004 is a wasteful number, since it uses less digits than its factorization.

13857004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 13857004 is about 3722.4996977837. The cubic root of 13857004 is about 240.1908435749.

The spelling of 13857004 in words is "thirteen million, eight hundred fifty-seven thousand, four".

Divisors: 1 2 4 7 14 19 28 38 49 61 76 98 122 133 196 244 266 427 532 854 931 1159 1708 1862 2318 2989 3721 3724 4636 5978 7442 8113 11956 14884 16226 26047 32452 52094 56791 70699 104188 113582 141398 182329 227164 282796 364658 494893 729316 989786 1979572 3464251 6928502 13857004