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20678952 = 2337831483
BaseRepresentation
bin100111011100…
…0100100101000
31102220121012010
41032320210220
520243211302
62015115520
7340524330
oct116704450
942817163
1020678952
1110744448
126b12ba0
134390488
142a640c0
151c3716c
hex13b8928

20678952 has 64 divisors (see below), whose sum is σ = 59834880. Its totient is φ = 5833152.

The previous prime is 20678951. The next prime is 20678981. The reversal of 20678952 is 25987602.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20678952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20678951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13203 + ... + 14685.

It is an arithmetic number, because the mean of its divisors is an integer number (934920).

Almost surely, 220678952 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 20678952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29917440).

20678952 is an abundant number, since it is smaller than the sum of its proper divisors (39155928).

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

20678952 is a wasteful number, since it uses less digits than its factorization.

20678952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 20678952 is about 4547.4115714327. The cubic root of 20678952 is about 274.4792436885.

The spelling of 20678952 in words is "twenty million, six hundred seventy-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 166 168 249 332 498 581 664 996 1162 1483 1743 1992 2324 2966 3486 4449 4648 5932 6972 8898 10381 11864 13944 17796 20762 31143 35592 41524 62286 83048 123089 124572 246178 249144 369267 492356 738534 861623 984712 1477068 1723246 2584869 2954136 3446492 5169738 6892984 10339476 20678952