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20801976 = 23313611093
BaseRepresentation
bin100111101011…
…0100110111000
31110010211221120
41033112212320
520311130401
62021505240
7341546106
oct117264670
943124846
1020801976
1110818918
126b72220
134404480
142a96c76
151c5d836
hex13d69b8

20801976 has 64 divisors (see below), whose sum is σ = 56975520. Its totient is φ = 6289920.

The previous prime is 20801971. The next prime is 20801987. The reversal of 20801976 is 67910802.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20801971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18486 + ... + 19578.

Almost surely, 220801976 is an apocalyptic number.

20801976 is a gapful number since it is divisible by the number (26) 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 20801976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28487760).

20801976 is an abundant number, since it is smaller than the sum of its proper divisors (36173544).

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

20801976 is a wasteful number, since it uses less digits than its factorization.

20801976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 20801976 is about 4560.9183285825. The cubic root of 20801976 is about 275.0224819086.

The spelling of 20801976 in words is "twenty million, eight hundred one thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 122 156 183 244 312 366 488 732 793 1093 1464 1586 2186 2379 3172 3279 4372 4758 6344 6558 8744 9516 13116 14209 19032 26232 28418 42627 56836 66673 85254 113672 133346 170508 200019 266692 341016 400038 533384 800076 866749 1600152 1733498 2600247 3466996 5200494 6933992 10400988 20801976