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20031648 = 2537132293
BaseRepresentation
bin100110001101…
…0100010100000
31101200201020220
41030122202200
520112003043
61553203040
7332160210
oct114324240
941621226
1020031648
111034208a
126860480
1341c4960
142936240
151b5a483
hex131a8a0

20031648 has 96 divisors (see below), whose sum is σ = 64745856. Its totient is φ = 5280768.

The previous prime is 20031637. The next prime is 20031659. The reversal of 20031648 is 84613002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20031637) and next prime (20031659).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7590 + ... + 9882.

It is an arithmetic number, because the mean of its divisors is an integer number (674436).

Almost surely, 220031648 is an apocalyptic number.

20031648 is a gapful number since it is divisible by the number (28) 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 20031648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32372928).

20031648 is an abundant number, since it is smaller than the sum of its proper divisors (44714208).

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

20031648 is a wasteful number, since it uses less digits than its factorization.

20031648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 20031648 is about 4475.6729103008. The cubic root of 20031648 is about 271.5848626862.

The spelling of 20031648 in words is "twenty million, thirty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2293 2912 4368 4586 6879 8736 9172 13758 16051 18344 27516 29809 32102 36688 48153 55032 59618 64204 73376 89427 96306 110064 119236 128408 178854 192612 208663 220128 238472 256816 357708 385224 417326 476944 513632 625989 715416 770448 834652 953888 1251978 1430832 1540896 1669304 2503956 2861664 3338608 5007912 6677216 10015824 20031648