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6142590 = 2325131521
BaseRepresentation
bin10111011011101001111110
3102120002001100
4113123221332
53033030330
6335353530
7103132266
oct27335176
912502040
106142590
113516023
1220828a6
131370b8c
14b5c7a6
15815060
hex5dba7e

6142590 has 48 divisors (see below), whose sum is σ = 16123536. Its totient is φ = 1622400.

The previous prime is 6142589. The next prime is 6142603. The reversal of 6142590 is 952416.

It is a congruent number.

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, 11530 + ... + 12050.

It is an arithmetic number, because the mean of its divisors is an integer number (335907).

Almost surely, 26142590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6142590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8061768).

6142590 is an abundant number, since it is smaller than the sum of its proper divisors (9980946).

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

6142590 is a wasteful number, since it uses less digits than its factorization.

6142590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 6142590 is about 2478.4249030382. The cubic root of 6142590 is about 183.1402669112.

The spelling of 6142590 in words is "six million, one hundred forty-two thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 521 655 786 1042 1179 1310 1563 1965 2358 2605 3126 3930 4689 5210 5895 7815 9378 11790 15630 23445 46890 68251 136502 204753 341255 409506 614259 682510 1023765 1228518 2047530 3071295 6142590