Search a number
-
+
6142104 = 2332233709
BaseRepresentation
bin10111011011100010011000
3102120001101100
4113123202120
53033021404
6335351400
7103131003
oct27334230
912501340
106142104
113515721
122082560
1313708a7
14b5c53a
15814d39
hex5db898

6142104 has 48 divisors (see below), whose sum is σ = 17362800. Its totient is φ = 1957824.

The previous prime is 6142079. The next prime is 6142109. The reversal of 6142104 is 4012416.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6142109) 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, 199 + ... + 3510.

It is an arithmetic number, because the mean of its divisors is an integer number (361725).

Almost surely, 26142104 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 6142104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8681400).

6142104 is an abundant number, since it is smaller than the sum of its proper divisors (11220696).

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

6142104 is a wasteful number, since it uses less digits than its factorization.

6142104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6142104 is about 2478.3268549568. The cubic root of 6142104 is about 183.1354367816.

The spelling of 6142104 in words is "six million, one hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 3709 7418 11127 14836 22254 29672 33381 44508 66762 85307 89016 133524 170614 255921 267048 341228 511842 682456 767763 1023684 1535526 2047368 3071052 6142104