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20431752 = 23311193401
BaseRepresentation
bin100110111110…
…0001110001000
31102110001002120
41031330032020
520212304002
62005531240
7335444535
oct115741610
942401076
1020431752
1110595750
126a13b20
134304ac3
1429dbd8c
151bd8cbc
hex137c388

20431752 has 64 divisors (see below), whose sum is σ = 56151360. Its totient is φ = 6144000.

The previous prime is 20431729. The next prime is 20431753. The reversal of 20431752 is 25713402.

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 (20431753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50752 + ... + 51152.

It is an arithmetic number, because the mean of its divisors is an integer number (877365).

Almost surely, 220431752 is an apocalyptic number.

20431752 is a gapful number since it is divisible by the number (22) 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 20431752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28075680).

20431752 is an abundant number, since it is smaller than the sum of its proper divisors (35719608).

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

20431752 is a wasteful number, since it uses less digits than its factorization.

20431752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 20431752 is about 4520.1495550479. The cubic root of 20431752 is about 273.3811311744.

The spelling of 20431752 in words is "twenty million, four hundred thirty-one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 193 264 386 401 579 772 802 1158 1203 1544 1604 2123 2316 2406 3208 4246 4411 4632 4812 6369 8492 8822 9624 12738 13233 16984 17644 25476 26466 35288 50952 52932 77393 105864 154786 232179 309572 464358 619144 851323 928716 1702646 1857432 2553969 3405292 5107938 6810584 10215876 20431752