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20126976 = 28373359
BaseRepresentation
bin100110011000…
…1110100000000
31101212120000120
41030301310000
520123030401
61555220240
7333035142
oct114616400
941776016
1020126976
11103a7771
1268a7680
13422916c
14295cc92
151b78836
hex1331d00

20126976 has 72 divisors (see below), whose sum is σ = 54452160. Its totient is φ = 6598656.

The previous prime is 20126933. The next prime is 20126983. The reversal of 20126976 is 67962102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55885 + ... + 56243.

It is an arithmetic number, because the mean of its divisors is an integer number (756280).

Almost surely, 220126976 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 20126976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27226080).

20126976 is an abundant number, since it is smaller than the sum of its proper divisors (34325184).

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

20126976 is an equidigital number, since it uses as much as digits as its factorization.

20126976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 20126976 is about 4486.3098421754. The cubic root of 20126976 is about 272.0149934065.

The spelling of 20126976 in words is "twenty million, one hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 359 384 438 584 718 768 876 1077 1168 1436 1752 2154 2336 2872 3504 4308 4672 5744 7008 8616 9344 11488 14016 17232 18688 22976 26207 28032 34464 45952 52414 56064 68928 78621 91904 104828 137856 157242 209656 275712 314484 419312 628968 838624 1257936 1677248 2515872 3354496 5031744 6708992 10063488 20126976