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11504961 = 3213107919
BaseRepresentation
bin101011111000…
…110101000001
3210122111211200
4223320311001
510421124321
61050331413
7166535106
oct53706501
923574750
1011504961
116548936
123a29b69
1324ca890
141756aad
151023d26
hexaf8d41

11504961 has 24 divisors (see below), whose sum is σ = 18083520. Its totient is φ = 7006176.

The previous prime is 11504959. The next prime is 11504981. The reversal of 11504961 is 16940511.

11504961 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11504961 - 21 = 11504959 is a prime.

It is a super-2 number, since 2×115049612 = 264728255223042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11504921) 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, 12060 + ... + 12978.

It is an arithmetic number, because the mean of its divisors is an integer number (753480).

Almost surely, 211504961 is an apocalyptic number.

It is an amenable number.

11504961 is a deficient number, since it is larger than the sum of its proper divisors (6578559).

11504961 is a wasteful number, since it uses less digits than its factorization.

11504961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 11504961 is about 3391.8963722378. The cubic root of 11504961 is about 225.7503246832.

The spelling of 11504961 in words is "eleven million, five hundred four thousand, nine hundred sixty-one".

Divisors: 1 3 9 13 39 107 117 321 919 963 1391 2757 4173 8271 11947 12519 35841 98333 107523 294999 884997 1278329 3834987 11504961