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11249064 = 2333192741
BaseRepresentation
bin101010111010…
…010110101000
3210011111211000
4222322112220
510334432224
61041035000
7164421051
oct52722650
923144730
1011249064
116393652
123925a60
13243b268
1416cb728
15ec30c9
hexaba5a8

11249064 has 64 divisors (see below), whose sum is σ = 32904000. Its totient is φ = 3551040.

The previous prime is 11249059. The next prime is 11249089. The reversal of 11249064 is 46094211.

11249064 is a `hidden beast` number, since 112 + 490 + 64 = 666.

11249064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2734 + ... + 5474.

It is an arithmetic number, because the mean of its divisors is an integer number (514125).

Almost surely, 211249064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11249064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16452000).

11249064 is an abundant number, since it is smaller than the sum of its proper divisors (21654936).

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

11249064 is a wasteful number, since it uses less digits than its factorization.

11249064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 11249064 is about 3353.9624327055. The cubic root of 11249064 is about 224.0640229409.

The spelling of 11249064 in words is "eleven million, two hundred forty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 2741 4104 5482 8223 10964 16446 21928 24669 32892 49338 52079 65784 74007 98676 104158 148014 156237 197352 208316 296028 312474 416632 468711 592056 624948 937422 1249896 1406133 1874844 2812266 3749688 5624532 11249064