Search a number
-
+
20741376 = 283113239
BaseRepresentation
bin100111100011…
…1110100000000
31110000202211010
41033013310000
520302211001
62020320520
7341204325
oct117076400
943022733
1020741376
1110787337
126b43140
1343b2a06
142a7cb4c
151c4a8d6
hex13c7d00

20741376 has 72 divisors (see below), whose sum is σ = 55923840. Its totient is φ = 6823936.

The previous prime is 20741363. The next prime is 20741381. The reversal of 20741376 is 67314702.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 86665 + ... + 86903.

It is an arithmetic number, because the mean of its divisors is an integer number (776720).

Almost surely, 220741376 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 20741376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27961920).

20741376 is an abundant number, since it is smaller than the sum of its proper divisors (35182464).

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

20741376 is a wasteful number, since it uses less digits than its factorization.

20741376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 20741376 is about 4554.2700842177. The cubic root of 20741376 is about 274.7551583826.

The spelling of 20741376 in words is "twenty million, seven hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 239 256 339 384 452 478 678 717 768 904 956 1356 1434 1808 1912 2712 2868 3616 3824 5424 5736 7232 7648 10848 11472 14464 15296 21696 22944 27007 28928 30592 43392 45888 54014 61184 81021 86784 91776 108028 162042 183552 216056 324084 432112 648168 864224 1296336 1728448 2592672 3456896 5185344 6913792 10370688 20741376