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6013938 = 237312149
BaseRepresentation
bin10110111100001111110010
3102022112120110
4112330033302
53014421223
6332522150
7102055230
oct26741762
912275513
106013938
1134383a7
122020356
131327458
14b27950
157dbd93
hex5bc3f2

6013938 has 48 divisors (see below), whose sum is σ = 14299200. Its totient is φ = 1651680.

The previous prime is 6013927. The next prime is 6013949. The reversal of 6013938 is 8393106.

It is an interprime number because it is at equal distance from previous prime (6013927) and next prime (6013949).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40288 + ... + 40436.

It is an arithmetic number, because the mean of its divisors is an integer number (297900).

Almost surely, 26013938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6013938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7149600).

6013938 is an abundant number, since it is smaller than the sum of its proper divisors (8285262).

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

6013938 is a wasteful number, since it uses less digits than its factorization.

6013938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 6013938 is about 2452.3331747542. Note that the first 3 decimals coincide. The cubic root of 6013938 is about 181.8526561751.

The spelling of 6013938 in words is "six million, thirteen thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 149 186 217 298 434 447 651 894 961 1043 1302 1922 2086 2883 3129 4619 5766 6258 6727 9238 13454 13857 20181 27714 32333 40362 64666 96999 143189 193998 286378 429567 859134 1002323 2004646 3006969 6013938