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20382408 = 2333197479
BaseRepresentation
bin100110111000…
…0001011001000
31102100112102000
41031300023020
520204214113
62004511000
7335150634
oct115601310
942315360
1020382408
1110561672
1269ab460
1342b84c7
1429c7dc4
151bc9373
hex13702c8

20382408 has 64 divisors (see below), whose sum is σ = 57024000. Its totient is φ = 6745536.

The previous prime is 20382391. The next prime is 20382419. The reversal of 20382408 is 80428302.

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

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, 42313 + ... + 42791.

It is an arithmetic number, because the mean of its divisors is an integer number (891000).

Almost surely, 220382408 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 20382408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28512000).

20382408 is an abundant number, since it is smaller than the sum of its proper divisors (36641592).

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

20382408 is a wasteful number, since it uses less digits than its factorization.

20382408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20382408 is about 4514.6880290891. The cubic root of 20382408 is about 273.1608760760.

The spelling of 20382408 in words is "twenty million, three hundred eighty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 197 216 394 479 591 788 958 1182 1437 1576 1773 1916 2364 2874 3546 3832 4311 4728 5319 5748 7092 8622 10638 11496 12933 14184 17244 21276 25866 34488 42552 51732 94363 103464 188726 283089 377452 566178 754904 849267 1132356 1698534 2264712 2547801 3397068 5095602 6794136 10191204 20382408