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20720076 = 22313217601
BaseRepresentation
bin100111100001…
…0100111001100
31102222200121020
41033002213030
520301020301
62020034140
7341055246
oct117024714
942880536
1020720076
1110772333
126b32950
1343a6100
142a75096
151c44436
hex13c29cc

20720076 has 72 divisors (see below), whose sum is σ = 55523664. Its totient is φ = 5990400.

The previous prime is 20720057. The next prime is 20720083. The reversal of 20720076 is 67002702.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34176 + ... + 34776.

It is an arithmetic number, because the mean of its divisors is an integer number (771162).

Almost surely, 220720076 is an apocalyptic number.

20720076 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 20720076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27761832).

20720076 is an abundant number, since it is smaller than the sum of its proper divisors (34803588).

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

20720076 is a wasteful number, since it uses less digits than its factorization.

20720076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 20720076 is about 4551.9310188095. The cubic root of 20720076 is about 274.6610744717.

Adding to 20720076 its reverse (67002702), we get a palindrome (87722778).

The spelling of 20720076 in words is "twenty million, seven hundred twenty thousand, seventy-six".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 169 204 221 338 442 507 601 663 676 884 1014 1202 1326 1803 2028 2404 2652 2873 3606 5746 7212 7813 8619 10217 11492 15626 17238 20434 23439 30651 31252 34476 40868 46878 61302 93756 101569 122604 132821 203138 265642 304707 398463 406276 531284 609414 796926 1218828 1593852 1726673 3453346 5180019 6906692 10360038 20720076