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10531864 = 237267401
BaseRepresentation
bin101000001011…
…010000011000
3201211002000001
4220023100120
510144004424
61013422344
7155343100
oct50132030
921732001
1010531864
115a43822
12363a9b4
132249995
141582200
15dd0844
hexa0b418

10531864 has 48 divisors (see below), whose sum is σ = 23372280. Its totient is φ = 4435200.

The previous prime is 10531849. The next prime is 10531867. The reversal of 10531864 is 46813501.

It is a super-2 number, since 2×105318642 = 221840318628992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10531867) 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, 26064 + ... + 26464.

Almost surely, 210531864 is an apocalyptic number.

10531864 is a gapful number since it is divisible by the number (14) 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 10531864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11686140).

10531864 is an abundant number, since it is smaller than the sum of its proper divisors (12840416).

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

10531864 is a wasteful number, since it uses less digits than its factorization.

10531864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 10531864 is about 3245.2833466432. The cubic root of 10531864 is about 219.1972396512.

The spelling of 10531864 in words is "ten million, five hundred thirty-one thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 67 98 134 196 268 392 401 469 536 802 938 1604 1876 2807 3208 3283 3752 5614 6566 11228 13132 19649 22456 26264 26867 39298 53734 78596 107468 157192 188069 214936 376138 752276 1316483 1504552 2632966 5265932 10531864