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20741580 = 22325139829
BaseRepresentation
bin100111100011…
…1110111001100
31110000210002200
41033013313030
520302212310
62020321500
7341205036
oct117076714
943023080
1020741580
1110787502
126b43290
1343b2b32
142a7cc56
151c4a9c0
hex13c7dcc

20741580 has 72 divisors (see below), whose sum is σ = 63445200. Its totient is φ = 5484672.

The previous prime is 20741579. The next prime is 20741593. The reversal of 20741580 is 8514702.

It is a congruent number.

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, 24606 + ... + 25434.

Almost surely, 220741580 is an apocalyptic number.

20741580 is a gapful number since it is divisible by the number (20) 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 20741580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31722600).

20741580 is an abundant number, since it is smaller than the sum of its proper divisors (42703620).

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

20741580 is a wasteful number, since it uses less digits than its factorization.

20741580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 20741580 is about 4554.2924807263. The cubic root of 20741580 is about 274.7560591565.

It can be divided in two parts, 20741 and 580, that added together give a triangular number (21321 = T206).

The spelling of 20741580 in words is "twenty million, seven hundred forty-one thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 278 417 556 695 829 834 1251 1390 1658 1668 2085 2487 2502 2780 3316 4145 4170 4974 5004 6255 7461 8290 8340 9948 12435 12510 14922 16580 24870 25020 29844 37305 49740 74610 115231 149220 230462 345693 460924 576155 691386 1037079 1152310 1382772 1728465 2074158 2304620 3456930 4148316 5185395 6913860 10370790 20741580