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20741640 = 23351271361
BaseRepresentation
bin100111100011…
…1111000001000
31110000210011220
41033013320020
520302213030
62020322040
7341205153
oct117077010
943023156
1020741640
1110787557
126b43320
1343b2b7a
142a7cc9a
151c4aa10
hex13c7e08

20741640 has 64 divisors (see below), whose sum is σ = 62760960. Its totient is φ = 5483520.

The previous prime is 20741621. The next prime is 20741713. The reversal of 20741640 is 4614702.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20741640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14560 + ... + 15920.

It is an arithmetic number, because the mean of its divisors is an integer number (980640).

Almost surely, 220741640 is an apocalyptic number.

20741640 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 20741640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31380480).

20741640 is an abundant number, since it is smaller than the sum of its proper divisors (42019320).

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

20741640 is a wasteful number, since it uses less digits than its factorization.

20741640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 20741640 is about 4554.2990679137. The cubic root of 20741640 is about 274.7563240889.

The spelling of 20741640 in words is "twenty million, seven hundred forty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1361 1524 1905 2540 2722 3048 3810 4083 5080 5444 6805 7620 8166 10888 13610 15240 16332 20415 27220 32664 40830 54440 81660 163320 172847 345694 518541 691388 864235 1037082 1382776 1728470 2074164 2592705 3456940 4148328 5185410 6913880 10370820 20741640