Search a number
-
+
11452968 = 2333173119
BaseRepresentation
bin101011101100…
…001000101000
3210112212112000
4223230020220
510412443333
61045251000
7166230402
oct53541050
923485460
1011452968
11651286a
123a03a60
1324b0007
141741b72
151013713
hexaec228

11452968 has 64 divisors (see below), whose sum is σ = 33696000. Its totient is φ = 3591936.

The previous prime is 11452949. The next prime is 11452979. The reversal of 11452968 is 86925411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2113 + ... + 5231.

It is an arithmetic number, because the mean of its divisors is an integer number (526500).

Almost surely, 211452968 is an apocalyptic number.

11452968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11452968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848000).

11452968 is an abundant number, since it is smaller than the sum of its proper divisors (22243032).

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

11452968 is a wasteful number, since it uses less digits than its factorization.

11452968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151 (or 3141 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 11452968 is about 3384.2233968815. The cubic root of 11452968 is about 225.4097422638.

The spelling of 11452968 in words is "eleven million, four hundred fifty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3119 3672 6238 9357 12476 18714 24952 28071 37428 53023 56142 74856 84213 106046 112284 159069 168426 212092 224568 318138 336852 424184 477207 636276 673704 954414 1272552 1431621 1908828 2863242 3817656 5726484 11452968