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1131936 = 25313907
BaseRepresentation
bin100010100010110100000
32010111201120
410110112200
5242210221
640132240
712423051
oct4242640
92114646
101131936
11703493
12467080
133082b0
14216728
151755c6
hex1145a0

1131936 has 48 divisors (see below), whose sum is σ = 3203424. Its totient is φ = 347904.

The previous prime is 1131919. The next prime is 1131937. The reversal of 1131936 is 6391311.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1131937) by changing a digit.

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, 795 + ... + 1701.

It is an arithmetic number, because the mean of its divisors is an integer number (66738).

21131936 is an apocalyptic number.

1131936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601712).

1131936 is an abundant number, since it is smaller than the sum of its proper divisors (2071488).

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

1131936 is a wasteful number, since it uses less digits than its factorization.

1131936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 925 counting only the distinct ones).

The product of its digits is 486, while the sum is 24.

The square root of 1131936 is about 1063.9248093733. The cubic root of 1131936 is about 104.2174935600.

The spelling of 1131936 in words is "one million, one hundred thirty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 907 1248 1814 2721 3628 5442 7256 10884 11791 14512 21768 23582 29024 35373 43536 47164 70746 87072 94328 141492 188656 282984 377312 565968 1131936