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11156064 = 253791471
BaseRepresentation
bin101010100011…
…101001100000
3202222210020120
4222203221200
510323443224
61035040240
7163552653
oct52435140
922883216
1011156064
11632a797
1238a0080
132407b2a
1416a589a
15ea5779
hexaa3a60

11156064 has 48 divisors (see below), whose sum is σ = 29675520. Its totient is φ = 3669120.

The previous prime is 11156051. The next prime is 11156071. The reversal of 11156064 is 46065111.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6849 + ... + 8319.

It is an arithmetic number, because the mean of its divisors is an integer number (618240).

Almost surely, 211156064 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 11156064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14837760).

11156064 is an abundant number, since it is smaller than the sum of its proper divisors (18519456).

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

11156064 is a wasteful number, since it uses less digits than its factorization.

11156064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 11156064 is about 3340.0694603556. The cubic root of 11156064 is about 223.4448412246. Note that the first 3 decimals are identical.

The spelling of 11156064 in words is "eleven million, one hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1471 1896 2528 2942 3792 4413 5884 7584 8826 11768 17652 23536 35304 47072 70608 116209 141216 232418 348627 464836 697254 929672 1394508 1859344 2789016 3718688 5578032 11156064