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1131872 = 25731163
BaseRepresentation
bin100010100010101100000
32010111122012
410110111200
5242204442
640132052
712422630
oct4242540
92114565
101131872
11703435
12467028
13308261
142166c0
15175582
hex114560

1131872 has 48 divisors (see below), whose sum is σ = 2644992. Its totient is φ = 466560.

The previous prime is 1131869. The next prime is 1131881. The reversal of 1131872 is 2781311.

It is a happy number.

It is a super-2 number, since 2×11318722 = 2562268448768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6863 + ... + 7025.

It is an arithmetic number, because the mean of its divisors is an integer number (55104).

21131872 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 1131872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322496).

1131872 is an abundant number, since it is smaller than the sum of its proper divisors (1513120).

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

1131872 is a wasteful number, since it uses less digits than its factorization.

1131872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its digits is 336, while the sum is 23.

The square root of 1131872 is about 1063.8947316347. The cubic root of 1131872 is about 104.2155293603.

The spelling of 1131872 in words is "one million, one hundred thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 163 217 224 248 326 434 496 652 868 992 1141 1304 1736 2282 2608 3472 4564 5053 5216 6944 9128 10106 18256 20212 35371 36512 40424 70742 80848 141484 161696 282968 565936 1131872