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11452900 = 2252176737
BaseRepresentation
bin101011101100…
…000111100100
3210112212102111
4223230013210
510412443100
61045250404
7166230244
oct53540744
923485374
1011452900
116512808
123a03a04
1324acc84
141741b24
1510136ba
hexaec1e4

11452900 has 36 divisors (see below), whose sum is σ = 26318628. Its totient is φ = 4311040.

The previous prime is 11452891. The next prime is 11452907. The reversal of 11452900 is 925411.

11452900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1444 + 11451456 = 38^2 + 3384^2 .

It is not an unprimeable number, because it can be changed into a prime (11452907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1669 + ... + 5068.

It is an arithmetic number, because the mean of its divisors is an integer number (731073).

Almost surely, 211452900 is an apocalyptic number.

11452900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11452900 is an abundant number, since it is smaller than the sum of its proper divisors (14865728).

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

11452900 is a wasteful number, since it uses less digits than its factorization.

11452900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6768 (or 6761 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 11452900 is about 3384.2133502485. The cubic root of 11452900 is about 225.4092961526.

The spelling of 11452900 in words is "eleven million, four hundred fifty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 6737 13474 26948 33685 67370 114529 134740 168425 229058 336850 458116 572645 673700 1145290 2290580 2863225 5726450 11452900