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11314960 = 245672111
BaseRepresentation
bin101011001010…
…011100010000
3210021212012121
4223022130100
510344034320
61042304024
7165114136
oct53123420
923255177
1011314960
116429108
123958014
132462257
141707756
15ed78aa
hexaca710

11314960 has 40 divisors (see below), whose sum is σ = 26712576. Its totient is φ = 4456320.

The previous prime is 11314949. The next prime is 11314981. The reversal of 11314960 is 6941311.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4305 + ... + 6415.

Almost surely, 211314960 is an apocalyptic number.

11314960 is a gapful number since it is divisible by the number (10) 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 11314960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13356288).

11314960 is an abundant number, since it is smaller than the sum of its proper divisors (15397616).

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

11314960 is a wasteful number, since it uses less digits than its factorization.

11314960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 11314960 is about 3363.7716926094. The cubic root of 11314960 is about 224.5006869985.

The spelling of 11314960 in words is "eleven million, three hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2111 2680 4222 5360 8444 10555 16888 21110 33776 42220 84440 141437 168880 282874 565748 707185 1131496 1414370 2262992 2828740 5657480 11314960