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11057337 = 33537727
BaseRepresentation
bin101010001011…
…100010111001
3202210202211000
4222023202321
510312313322
61032555213
7162662064
oct52134271
922722730
1011057337
1162725a5
123852b09
1323a1c05
14167b8db
15e863ac
hexa8b8b9

11057337 has 16 divisors (see below), whose sum is σ = 16692480. Its totient is φ = 7231536.

The previous prime is 11057281. The next prime is 11057357. The reversal of 11057337 is 73375011.

11057337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11057337 - 27 = 11057209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11057337.

It is not an unprimeable number, because it can be changed into a prime (11057357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2433 + ... + 5294.

It is an arithmetic number, because the mean of its divisors is an integer number (1043280).

Almost surely, 211057337 is an apocalyptic number.

It is an amenable number.

11057337 is a deficient number, since it is larger than the sum of its proper divisors (5635143).

11057337 is an equidigital number, since it uses as much as digits as its factorization.

11057337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7789 (or 7783 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 11057337 is about 3325.2574336433. The cubic root of 11057337 is about 222.7837527784.

The spelling of 11057337 in words is "eleven million, fifty-seven thousand, three hundred thirty-seven".

Divisors: 1 3 9 27 53 159 477 1431 7727 23181 69543 208629 409531 1228593 3685779 11057337