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6131104 = 257101271
BaseRepresentation
bin10111011000110110100000
3102112111021221
4113120312200
53032143404
6335224424
7103053640
oct27306640
912474257
106131104
113508431
122078114
131368895
14b58520
15811954
hex5d8da0

6131104 has 48 divisors (see below), whose sum is σ = 13982976. Its totient is φ = 2592000.

The previous prime is 6131089. The next prime is 6131119. The reversal of 6131104 is 4011316.

It is an interprime number because it is at equal distance from previous prime (6131089) and next prime (6131119).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22489 + ... + 22759.

It is an arithmetic number, because the mean of its divisors is an integer number (291312).

Almost surely, 26131104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6991488).

6131104 is an abundant number, since it is smaller than the sum of its proper divisors (7851872).

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

6131104 is a wasteful number, since it uses less digits than its factorization.

6131104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 6131104 is about 2476.1066212908. The cubic root of 6131104 is about 183.0260446473.

The spelling of 6131104 in words is "six million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 101 112 202 224 271 404 542 707 808 1084 1414 1616 1897 2168 2828 3232 3794 4336 5656 7588 8672 11312 15176 22624 27371 30352 54742 60704 109484 191597 218968 383194 437936 766388 875872 1532776 3065552 6131104