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11338912 = 251397281
BaseRepresentation
bin101011010000…
…010010100000
3210100002001201
4223100102200
510400321122
61043010544
7165244024
oct53202240
923302051
1011338912
116445102
123969a54
132470120
141712384
15edea27
hexad04a0

11338912 has 48 divisors (see below), whose sum is σ = 24374952. Its totient is φ = 5160960.

The previous prime is 11338903. The next prime is 11338927. The reversal of 11338912 is 21983311.

It can be written as a sum of positive squares in 4 ways, for example, as 8503056 + 2835856 = 2916^2 + 1684^2 .

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, 40212 + ... + 40492.

Almost surely, 211338912 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 11338912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12187476).

11338912 is an abundant number, since it is smaller than the sum of its proper divisors (13036040).

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

11338912 is a wasteful number, since it uses less digits than its factorization.

11338912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 393 counting only the distinct ones).

The product of its digits is 1296, while the sum is 28.

The square root of 11338912 is about 3367.3300996487. The cubic root of 11338912 is about 224.6589862958.

The spelling of 11338912 in words is "eleven million, three hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 97 104 194 208 281 388 416 562 776 1124 1261 1552 2248 2522 3104 3653 4496 5044 7306 8992 10088 14612 20176 27257 29224 40352 54514 58448 109028 116896 218056 354341 436112 708682 872224 1417364 2834728 5669456 11338912