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11375104 = 29131709
BaseRepresentation
bin101011011001…
…001000000000
3210101220201011
4223121020000
510403000404
61043450304
7165454366
oct53311000
923356634
1011375104
11646a314
123986994
132483740
141721636
15eea604
hexad9200

11375104 has 40 divisors (see below), whose sum is σ = 24490620. Its totient is φ = 5246976.

The previous prime is 11375101. The next prime is 11375113. The reversal of 11375104 is 40157311.

It can be written as a sum of positive squares in 2 ways, for example, as 9935104 + 1440000 = 3152^2 + 1200^2 .

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (11375101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5802 + ... + 7510.

Almost surely, 211375104 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 11375104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12245310).

11375104 is an abundant number, since it is smaller than the sum of its proper divisors (13115516).

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

11375104 is an equidigital number, since it uses as much as digits as its factorization.

11375104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1724 counting only the distinct ones).

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

The square root of 11375104 is about 3372.6998087586. The cubic root of 11375104 is about 224.8977576623.

It can be divided in two parts, 1137 and 5104, that added together give a square (6241 = 792).

The spelling of 11375104 in words is "eleven million, three hundred seventy-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 1709 3328 3418 6656 6836 13672 22217 27344 44434 54688 88868 109376 177736 218752 355472 437504 710944 875008 1421888 2843776 5687552 11375104