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20092640 = 255178389
BaseRepresentation
bin100110010100…
…1011011100000
31101210210220212
41030221123200
520120431030
61554353252
7332533061
oct114513340
941723825
1020092640
1110383997
12688b828
134216649
142950568
151b6d595
hex13296e0

20092640 has 96 divisors (see below), whose sum is σ = 51438240. Its totient is φ = 7389184.

The previous prime is 20092609. The next prime is 20092673. The reversal of 20092640 is 4629002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225716 + ... + 225804.

It is an arithmetic number, because the mean of its divisors is an integer number (535815).

Almost surely, 220092640 is an apocalyptic number.

20092640 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 20092640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25719120).

20092640 is an abundant number, since it is smaller than the sum of its proper divisors (31345600).

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

20092640 is a wasteful number, since it uses less digits than its factorization.

20092640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 20092640 is about 4482.4814556225. The cubic root of 20092640 is about 271.8602222998.

The spelling of 20092640 in words is "twenty million, ninety-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 83 85 89 136 160 166 170 178 272 332 340 356 415 445 544 664 680 712 830 890 1328 1360 1411 1424 1513 1660 1780 2656 2720 2822 2848 3026 3320 3560 5644 6052 6640 7055 7120 7387 7565 11288 12104 13280 14110 14240 14774 15130 22576 24208 28220 29548 30260 36935 45152 48416 56440 59096 60520 73870 112880 118192 121040 125579 147740 225760 236384 242080 251158 295480 502316 590960 627895 1004632 1181920 1255790 2009264 2511580 4018528 5023160 10046320 20092640