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20874984 = 23313232909
BaseRepresentation
bin100111110100…
…0011011101000
31110021120002120
41033220123220
520320444414
62023231240
7342302004
oct117503350
943246076
1020874984
1110868759
126ba8520
13442b780
142ab5704
151c752a9
hex13e86e8

20874984 has 64 divisors (see below), whose sum is σ = 58665600. Its totient is φ = 6141696.

The previous prime is 20874979. The next prime is 20875009. The reversal of 20874984 is 48947802.

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, 5722 + ... + 8630.

It is an arithmetic number, because the mean of its divisors is an integer number (916650).

Almost surely, 220874984 is an apocalyptic number.

20874984 is a gapful number since it is divisible by the number (24) 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 20874984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29332800).

20874984 is an abundant number, since it is smaller than the sum of its proper divisors (37790616).

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

20874984 is a wasteful number, since it uses less digits than its factorization.

20874984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 20874984 is about 4568.9149696618. The cubic root of 20874984 is about 275.3438519720.

The spelling of 20874984 in words is "twenty million, eight hundred seventy-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 897 1196 1794 2392 2909 3588 5818 7176 8727 11636 17454 23272 34908 37817 66907 69816 75634 113451 133814 151268 200721 226902 267628 302536 401442 453804 535256 802884 869791 907608 1605768 1739582 2609373 3479164 5218746 6958328 10437492 20874984