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11241972 = 2232726373
BaseRepresentation
bin101010111000…
…100111110100
3210011011002100
4222320213310
510334220342
61040542100
7164361300
oct52704764
923134070
1011241972
116389295
123921930
132437c71
1416c8d00
15ec0e4c
hexab89f4

11241972 has 54 divisors (see below), whose sum is σ = 33061938. Its totient is φ = 3211488.

The previous prime is 11241961. The next prime is 11241973. The reversal of 11241972 is 27914211.

It can be written as a sum of positive squares in only one way, i.e., 10732176 + 509796 = 3276^2 + 714^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11241973) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1423 + ... + 4950.

Almost surely, 211241972 is an apocalyptic number.

11241972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11241972 is an abundant number, since it is smaller than the sum of its proper divisors (21819966).

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

11241972 is a wasteful number, since it uses less digits than its factorization.

11241972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6397 (or 6385 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 11241972 is about 3352.9050090929. The cubic root of 11241972 is about 224.0169258044.

The spelling of 11241972 in words is "eleven million, two hundred forty-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 6373 12746 19119 25492 38238 44611 57357 76476 89222 114714 133833 178444 229428 267666 312277 401499 535332 624554 802998 936831 1249108 1605996 1873662 2810493 3747324 5620986 11241972