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20749968 = 24321031399
BaseRepresentation
bin100111100100…
…1111010010000
31110001012121100
41033021322100
520302444333
62020424400
7341241351
oct117117220
943035540
1020749968
1110792838
126b48100
1343b68b5
142a81d28
151c4d213
hex13c9e90

20749968 has 60 divisors (see below), whose sum is σ = 58676800. Its totient is φ = 6844608.

The previous prime is 20749961. The next prime is 20749969. The reversal of 20749968 is 86994702.

It is a happy number.

It is a super-2 number, since 2×207499682 = 861122344002048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20749961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14133 + ... + 15531.

Almost surely, 220749968 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 20749968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29338400).

20749968 is an abundant number, since it is smaller than the sum of its proper divisors (37926832).

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

20749968 is a wasteful number, since it uses less digits than its factorization.

20749968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 20749968 is about 4555.2132771145. The cubic root of 20749968 is about 274.7930917455.

The spelling of 20749968 in words is "twenty million, seven hundred forty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 144 206 309 412 618 824 927 1236 1399 1648 1854 2472 2798 3708 4197 4944 5596 7416 8394 11192 12591 14832 16788 22384 25182 33576 50364 67152 100728 144097 201456 288194 432291 576388 864582 1152776 1296873 1729164 2305552 2593746 3458328 5187492 6916656 10374984 20749968