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11273152 = 261167239
BaseRepresentation
bin101011000000…
…001111000000
3210012201212011
4223000033000
510341220102
61041342304
7164551222
oct53001700
923181764
1011273152
1163aa760
123937994
132449207
1416d6412
15eca2d7
hexac03c0

11273152 has 56 divisors (see below), whose sum is σ = 24871680. Its totient is φ = 5026560.

The previous prime is 11273149. The next prime is 11273161. The reversal of 11273152 is 25137211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 47049 + ... + 47287.

Almost surely, 211273152 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 11273152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12435840).

11273152 is an abundant number, since it is smaller than the sum of its proper divisors (13598528).

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

11273152 is a wasteful number, since it uses less digits than its factorization.

11273152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 319 counting only the distinct ones).

The product of its digits is 420, while the sum is 22.

The square root of 11273152 is about 3357.5514888085. The cubic root of 11273152 is about 224.2238408695.

The spelling of 11273152 in words is "eleven million, two hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 134 176 239 268 352 478 536 704 737 956 1072 1474 1912 2144 2629 2948 3824 4288 5258 5896 7648 10516 11792 15296 16013 21032 23584 32026 42064 47168 64052 84128 128104 168256 176143 256208 352286 512416 704572 1024832 1409144 2818288 5636576 11273152