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11749056 = 263115563
BaseRepresentation
bin101100110100…
…011011000000
3211002220200020
4230310123000
511001432211
61055453440
7201602544
oct54643300
924086606
1011749056
1166a5270
123b27280
132584a07
1417bba24
151071306
hexb346c0

11749056 has 56 divisors (see below), whose sum is σ = 33918144. Its totient is φ = 3559680.

The previous prime is 11749051. The next prime is 11749061. The reversal of 11749056 is 65094711.

It is an interprime number because it is at equal distance from previous prime (11749051) and next prime (11749061).

It is a super-2 number, since 2×117490562 = 276080633782272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11749051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 670 + ... + 4893.

Almost surely, 211749056 is an apocalyptic number.

11749056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11749056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16959072).

11749056 is an abundant number, since it is smaller than the sum of its proper divisors (22169088).

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

11749056 is a wasteful number, since it uses less digits than its factorization.

11749056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5589 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 11749056 is about 3427.6896008828. The cubic root of 11749056 is about 227.3357087802.

The spelling of 11749056 in words is "eleven million, seven hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 5563 11126 16689 22252 33378 44504 61193 66756 89008 122386 133512 178016 183579 244772 267024 356032 367158 489544 534048 734316 979088 1068096 1468632 1958176 2937264 3916352 5874528 11749056