Search a number
-
+
11300968 = 2372127227
BaseRepresentation
bin101011000111…
…000001101000
3210021011000101
4223013001220
510343112333
61042115144
7165025300
oct53070150
923234011
1011300968
116419648
12394bab4
132458a83
141702600
15ed367d
hexac7068

11300968 has 48 divisors (see below), whose sum is σ = 24952320. Its totient is φ = 4783968.

The previous prime is 11300963. The next prime is 11300983. The reversal of 11300968 is 86900311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (11300963) 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, 49671 + ... + 49897.

It is an arithmetic number, because the mean of its divisors is an integer number (519840).

Almost surely, 211300968 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 11300968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12476160).

11300968 is an abundant number, since it is smaller than the sum of its proper divisors (13651352).

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

11300968 is a wasteful number, since it uses less digits than its factorization.

11300968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 11300968 is about 3361.6912410273. The cubic root of 11300968 is about 224.4081101709.

The spelling of 11300968 in words is "eleven million, three hundred thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 127 196 227 254 392 454 508 889 908 1016 1589 1778 1816 3178 3556 6223 6356 7112 11123 12446 12712 22246 24892 28829 44492 49784 57658 88984 115316 201803 230632 403606 807212 1412621 1614424 2825242 5650484 11300968