Search a number
-
+
6105132 = 223511571
BaseRepresentation
bin10111010010100000101100
3102111011200000
4113102200230
53030331012
6334504300
7102615135
oct27224054
912434600
106105132
11349a970
122065090
131359b07
14b4cc8c
15808ddc
hex5d282c

6105132 has 72 divisors (see below), whose sum is σ = 17489472. Its totient is φ = 1846800.

The previous prime is 6105101. The next prime is 6105149. The reversal of 6105132 is 2315016.

6105132 is a `hidden beast` number, since 610 + 51 + 3 + 2 = 666.

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

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, 10407 + ... + 10977.

Almost surely, 26105132 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 6105132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8744736).

6105132 is an abundant number, since it is smaller than the sum of its proper divisors (11384340).

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

6105132 is a wasteful number, since it uses less digits than its factorization.

6105132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 6105132 is about 2470.8565316505. The cubic root of 6105132 is about 182.7672396830.

The spelling of 6105132 in words is "six million, one hundred five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 571 594 891 972 1142 1188 1713 1782 2284 2673 3426 3564 5139 5346 6281 6852 10278 10692 12562 15417 18843 20556 25124 30834 37686 46251 56529 61668 75372 92502 113058 138753 169587 185004 226116 277506 339174 508761 555012 678348 1017522 1526283 2035044 3052566 6105132