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20920064 = 2811171923
BaseRepresentation
bin100111111001…
…1011100000000
31110100211221012
41033303130000
520323420224
62024220052
7342550304
oct117633400
943324835
1020920064
1110899610
12700a628
134446149
142ac7d04
151c8380e
hex13f3700

20920064 has 144 divisors (see below), whose sum is σ = 52980480. Its totient is φ = 8110080.

The previous prime is 20920061. The next prime is 20920091. The reversal of 20920064 is 46002902.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20920061) 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, 909557 + ... + 909579.

It is an arithmetic number, because the mean of its divisors is an integer number (367920).

Almost surely, 220920064 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 20920064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26490240).

20920064 is an abundant number, since it is smaller than the sum of its proper divisors (32060416).

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

20920064 is a wasteful number, since it uses less digits than its factorization.

20920064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 20920064 is about 4573.8456467179. The cubic root of 20920064 is about 275.5419132260.

Adding to 20920064 its reverse (46002902), we get a palindrome (66922966).

The spelling of 20920064 in words is "twenty million, nine hundred twenty thousand, sixty-four".

Divisors: 1 2 4 8 11 16 17 19 22 23 32 34 38 44 46 64 68 76 88 92 128 136 152 176 184 187 209 253 256 272 304 323 352 368 374 391 418 437 506 544 608 646 704 736 748 782 836 874 1012 1088 1216 1292 1408 1472 1496 1564 1672 1748 2024 2176 2432 2584 2816 2944 2992 3128 3344 3496 3553 4048 4301 4352 4807 4864 5168 5888 5984 6256 6688 6992 7106 7429 8096 8602 9614 10336 11968 12512 13376 13984 14212 14858 16192 17204 19228 20672 23936 25024 26752 27968 28424 29716 32384 34408 38456 41344 47872 50048 53504 55936 56848 59432 64768 68816 76912 81719 82688 100096 111872 113696 118864 137632 153824 163438 227392 237728 275264 307648 326876 454784 475456 550528 615296 653752 909568 950912 1101056 1230592 1307504 1901824 2615008 5230016 10460032 20920064