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10653424 = 241753739
BaseRepresentation
bin101000101000…
…111011110000
3202001020202021
4220220323300
510211402144
61020201224
7156360355
oct50507360
922036667
1010653424
116017091
123699214
132290102
1415b462c
15e06884
hexa28ef0

10653424 has 40 divisors (see below), whose sum is σ = 22297680. Its totient is φ = 4912128.

The previous prime is 10653403. The next prime is 10653427. The reversal of 10653424 is 42435601.

It is a super-2 number, since 2×106534242 = 226990885847552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10653427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14047 + ... + 14785.

It is an arithmetic number, because the mean of its divisors is an integer number (557442).

Almost surely, 210653424 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 10653424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11148840).

10653424 is an abundant number, since it is smaller than the sum of its proper divisors (11644256).

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

10653424 is a wasteful number, since it uses less digits than its factorization.

10653424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 10653424 is about 3263.9583330674. The cubic root of 10653424 is about 220.0373490309.

It can be divided in two parts, 1065 and 3424, that added together give a square (4489 = 672).

The spelling of 10653424 in words is "ten million, six hundred fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 212 272 424 739 848 901 1478 1802 2956 3604 5912 7208 11824 12563 14416 25126 39167 50252 78334 100504 156668 201008 313336 626672 665839 1331678 2663356 5326712 10653424