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11315616 = 253139067
BaseRepresentation
bin101011001010…
…100110100000
3210021220002220
4223022212200
510344044431
61042311040
7165116064
oct53124640
923256086
1011315616
116429654
123958480
132462640
141707aa4
15ed7b96
hexaca9a0

11315616 has 48 divisors (see below), whose sum is σ = 31991904. Its totient is φ = 3481344.

The previous prime is 11315611. The next prime is 11315641. The reversal of 11315616 is 61651311.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11315611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3286 + ... + 5781.

It is an arithmetic number, because the mean of its divisors is an integer number (666498).

Almost surely, 211315616 is an apocalyptic number.

11315616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11315616 is an abundant number, since it is smaller than the sum of its proper divisors (20676288).

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

11315616 is a wasteful number, since it uses less digits than its factorization.

11315616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9093 (or 9085 counting only the distinct ones).

The product of its digits is 540, while the sum is 24.

The square root of 11315616 is about 3363.8692007865. The cubic root of 11315616 is about 224.5050254909.

Adding to 11315616 its reverse (61651311), we get a palindrome (72966927).

The spelling of 11315616 in words is "eleven million, three hundred fifteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 9067 18134 27201 36268 54402 72536 108804 117871 145072 217608 235742 290144 353613 435216 471484 707226 870432 942968 1414452 1885936 2828904 3771872 5657808 11315616