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20821640 = 235774363
BaseRepresentation
bin100111101101…
…1011010001000
31110011211220212
41033123122020
520312243030
62022140252
7341660330
oct117333210
943154825
1020821640
1110831674
126b81688
1344103c8
142aa00c0
151c64595
hex13db688

20821640 has 32 divisors (see below), whose sum is σ = 53542080. Its totient is φ = 7138752.

The previous prime is 20821637. The next prime is 20821643. The reversal of 20821640 is 4612802.

It is an interprime number because it is at equal distance from previous prime (20821637) and next prime (20821643).

It is not an unprimeable number, because it can be changed into a prime (20821643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36902 + ... + 37461.

It is an arithmetic number, because the mean of its divisors is an integer number (1673190).

Almost surely, 220821640 is an apocalyptic number.

20821640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20821640 is an abundant number, since it is smaller than the sum of its proper divisors (32720440).

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

20821640 is a wasteful number, since it uses less digits than its factorization.

20821640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74381 (or 74377 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 20821640 is about 4563.0735255965. The cubic root of 20821640 is about 275.1091137252.

The spelling of 20821640 in words is "twenty million, eight hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 74363 148726 297452 371815 520541 594904 743630 1041082 1487260 2082164 2602705 2974520 4164328 5205410 10410820 20821640