Search a number
-
+
6113952 = 2532132371
BaseRepresentation
bin10111010100101010100000
3102111121202200
4113110222200
53031121302
6335013200
7102652635
oct27245240
912447680
106113952
1134a6559
12206a200
131360b30
14b5218c
1580b81c
hex5d4aa0

6113952 has 144 divisors (see below), whose sum is σ = 19813248. Its totient is φ = 1774080.

The previous prime is 6113941. The next prime is 6113959. The reversal of 6113952 is 2593116.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6113959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86077 + ... + 86147.

It is an arithmetic number, because the mean of its divisors is an integer number (137592).

Almost surely, 26113952 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 6113952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9906624).

6113952 is an abundant number, since it is smaller than the sum of its proper divisors (13699296).

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

6113952 is a wasteful number, since it uses less digits than its factorization.

6113952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 6113952 is about 2472.6406936714. The cubic root of 6113952 is about 182.8552111031.

The spelling of 6113952 in words is "six million, one hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 69 71 72 78 92 96 104 117 138 142 144 156 184 207 208 213 234 276 284 288 299 312 368 414 416 426 468 552 568 598 624 639 736 828 852 897 923 936 1104 1136 1196 1248 1278 1633 1656 1704 1794 1846 1872 2208 2272 2392 2556 2691 2769 3266 3312 3408 3588 3692 3744 4784 4899 5112 5382 5538 6532 6624 6816 7176 7384 8307 9568 9798 10224 10764 11076 13064 14352 14697 14768 16614 19596 20448 21229 21528 22152 26128 28704 29394 29536 33228 39192 42458 43056 44304 52256 58788 63687 66456 78384 84916 86112 88608 117576 127374 132912 156768 169832 191061 235152 254748 265824 339664 382122 470304 509496 679328 764244 1018992 1528488 2037984 3056976 6113952