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11307924 = 2234172053
BaseRepresentation
bin101011001000…
…101110010100
3210021111120000
4223020232110
510343323144
61042211300
7165054465
oct53105624
923244500
1011307924
1164238a1
123953b30
13245bca4
141704d6c
15ed5769
hexac8b94

11307924 has 60 divisors (see below), whose sum is σ = 31315284. Its totient is φ = 3545856.

The previous prime is 11307913. The next prime is 11307929. The reversal of 11307924 is 42970311.

It can be written as a sum of positive squares in 2 ways, for example, as 7387524 + 3920400 = 2718^2 + 1980^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11307929) 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 19 ways as a sum of consecutive naturals, for example, 4482 + ... + 6534.

Almost surely, 211307924 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 11307924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15657642).

11307924 is an abundant number, since it is smaller than the sum of its proper divisors (20007360).

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

11307924 is a wasteful number, since it uses less digits than its factorization.

11307924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 11307924 is about 3362.7256801589. The cubic root of 11307924 is about 224.4541434738.

The spelling of 11307924 in words is "eleven million, three hundred seven thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2053 2754 4106 5508 6159 8212 12318 18477 24636 34901 36954 55431 69802 73908 104703 110862 139604 166293 209406 221724 314109 332586 418812 628218 665172 942327 1256436 1884654 2826981 3769308 5653962 11307924