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20368680 = 2335269631
BaseRepresentation
bin100110110110…
…0110100101000
31102022211120120
41031230310220
520203244210
62004323240
7335062623
oct115546450
942284516
1020368680
1110552322
1269a3520
1342b2197
1429c2dba
151bc5270
hex136cd28

20368680 has 64 divisors (see below), whose sum is σ = 61430400. Its totient is φ = 5402880.

The previous prime is 20368661. The next prime is 20368723. The reversal of 20368680 is 8686302.

It is a congruent number.

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, 31965 + ... + 32595.

It is an arithmetic number, because the mean of its divisors is an integer number (959850).

Almost surely, 220368680 is an apocalyptic number.

20368680 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 20368680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30715200).

20368680 is an abundant number, since it is smaller than the sum of its proper divisors (41061720).

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

20368680 is a wasteful number, since it uses less digits than its factorization.

20368680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 20368680 is about 4513.1674021689. The cubic root of 20368680 is about 273.0995356836.

The spelling of 20368680 in words is "twenty million, three hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 269 538 631 807 1076 1262 1345 1614 1893 2152 2524 2690 3155 3228 3786 4035 5048 5380 6310 6456 7572 8070 9465 10760 12620 15144 16140 18930 25240 32280 37860 75720 169739 339478 509217 678956 848695 1018434 1357912 1697390 2036868 2546085 3394780 4073736 5092170 6789560 10184340 20368680