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11268072 = 233417389
BaseRepresentation
bin101010111110…
…111111101000
3210012110220000
4222332333220
510341034242
61041303000
7164530344
oct52767750
923173800
1011268072
1163a6962
123934a60
132446aca
1416d4624
15ec8a4c
hexabefe8

11268072 has 40 divisors (see below), whose sum is σ = 31562850. Its totient is φ = 3755808.

The previous prime is 11268043. The next prime is 11268077. The reversal of 11268072 is 27086211.

It can be written as a sum of positive squares in only one way, i.e., 9036036 + 2232036 = 3006^2 + 1494^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11268077) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8047 + ... + 9342.

Almost surely, 211268072 is an apocalyptic number.

11268072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11268072 is an abundant number, since it is smaller than the sum of its proper divisors (20294778).

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

11268072 is a wasteful number, since it uses less digits than its factorization.

11268072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17407 (or 17394 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 11268072 is about 3356.7948999008. The cubic root of 11268072 is about 224.1901552818.

The spelling of 11268072 in words is "eleven million, two hundred sixty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 17389 34778 52167 69556 104334 139112 156501 208668 313002 417336 469503 626004 939006 1252008 1408509 1878012 2817018 3756024 5634036 11268072