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11470816 = 257411249
BaseRepresentation
bin101011110000…
…011111100000
3210120210000001
4223300133200
510414031231
61045505344
7166333420
oct53603740
923523001
1011470816
116525215
123a12254
1324b8186
141748480
151018b61
hexaf07e0

11470816 has 48 divisors (see below), whose sum is σ = 26460000. Its totient is φ = 4792320.

The previous prime is 11470807. The next prime is 11470841. The reversal of 11470816 is 61807411.

11470816 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 (28).

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, 8560 + ... + 9808.

It is an arithmetic number, because the mean of its divisors is an integer number (551250).

Almost surely, 211470816 is an apocalyptic number.

11470816 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 11470816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13230000).

11470816 is an abundant number, since it is smaller than the sum of its proper divisors (14989184).

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

11470816 is a wasteful number, since it uses less digits than its factorization.

11470816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 11470816 is about 3386.8593121061. The cubic root of 11470816 is about 225.5267723370.

The spelling of 11470816 in words is "eleven million, four hundred seventy thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1249 1312 2296 2498 4592 4996 8743 9184 9992 17486 19984 34972 39968 51209 69944 102418 139888 204836 279776 358463 409672 716926 819344 1433852 1638688 2867704 5735408 11470816