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11097972 = 223434253
BaseRepresentation
bin101010010101…
…011101110100
3202212211120000
4222111131310
510320113342
61033511300
7163221414
oct52253564
922784500
1011097972
1162a0086
123872530
1323b7562
14168c644
15e9344c
hexa95774

11097972 has 30 divisors (see below), whose sum is σ = 29013138. Its totient is φ = 3699216.

The previous prime is 11097953. The next prime is 11097997. The reversal of 11097972 is 27979011.

It can be written as a sum of positive squares in only one way, i.e., 7986276 + 3111696 = 2826^2 + 1764^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16803 + ... + 17450.

Almost surely, 211097972 is an apocalyptic number.

11097972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11097972 is an abundant number, since it is smaller than the sum of its proper divisors (17915166).

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

11097972 is a wasteful number, since it uses less digits than its factorization.

11097972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34269 (or 34258 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 11097972 is about 3331.3618836746. The cubic root of 11097972 is about 223.0563244616.

The spelling of 11097972 in words is "eleven million, ninety-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 34253 68506 102759 137012 205518 308277 411036 616554 924831 1233108 1849662 2774493 3699324 5548986 11097972