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20790744 = 23313371801
BaseRepresentation
bin100111101001…
…1110111011000
31110010021112120
41033103313120
520310300434
62021341240
7341501262
oct117236730
943107476
1020790744
1110810437
126b67820
1343cc320
142a92b32
151c5a349
hex13d3dd8

20790744 has 64 divisors (see below), whose sum is σ = 57519840. Its totient is φ = 6220800.

The previous prime is 20790743. The next prime is 20790751. The reversal of 20790744 is 44709702.

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 (20790743) 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, 10644 + ... + 12444.

Almost surely, 220790744 is an apocalyptic number.

20790744 is a gapful number since it is divisible by the number (24) 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 20790744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28759920).

20790744 is an abundant number, since it is smaller than the sum of its proper divisors (36729096).

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

20790744 is a wasteful number, since it uses less digits than its factorization.

20790744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 20790744 is about 4559.6868313515. The cubic root of 20790744 is about 274.9729736525.

It can be divided in two parts, 207 and 90744, that added together give a triangular number (90951 = T426).

The spelling of 20790744 in words is "twenty million, seven hundred ninety thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 888 962 1443 1801 1924 2886 3602 3848 5403 5772 7204 10806 11544 14408 21612 23413 43224 46826 66637 70239 93652 133274 140478 187304 199911 266548 280956 399822 533096 561912 799644 866281 1599288 1732562 2598843 3465124 5197686 6930248 10395372 20790744