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20248360 = 23511172707
BaseRepresentation
bin100110100111…
…1011100101000
31102002201112021
41031033130220
520140421420
62001554224
7334052056
oct115173450
942081467
1020248360
111047a990
126945974
13426c4a2
1429911d6
151b9e7aa
hex134f728

20248360 has 64 divisors (see below), whose sum is σ = 52643520. Its totient is φ = 6927360.

The previous prime is 20248337. The next prime is 20248381. The reversal of 20248360 is 6384202.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6127 + ... + 8833.

It is an arithmetic number, because the mean of its divisors is an integer number (822555).

Almost surely, 220248360 is an apocalyptic number.

20248360 is a gapful number since it is divisible by the number (20) 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 20248360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26321760).

20248360 is an abundant number, since it is smaller than the sum of its proper divisors (32395160).

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

20248360 is a wasteful number, since it uses less digits than its factorization.

20248360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 20248360 is about 4499.8177740882. The cubic root of 20248360 is about 272.5607305094.

The spelling of 20248360 in words is "twenty million, two hundred forty-eight thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 2707 3740 5414 7480 10828 13535 21656 27070 29777 46019 54140 59554 92038 108280 119108 148885 184076 230095 238216 297770 368152 460190 506209 595540 920380 1012418 1191080 1840760 2024836 2531045 4049672 5062090 10124180 20248360