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20000680 = 2357611171
BaseRepresentation
bin100110001001…
…0111110101000
31101122010202221
41030102332220
520110010210
61552403424
7332001010
oct114227650
941563687
1020000680
1110320897
126846574
1341b382b
142928c40
151b511da
hex1312fa8

20000680 has 64 divisors (see below), whose sum is σ = 52318080. Its totient is φ = 6739200.

The previous prime is 20000671. The next prime is 20000689. The reversal of 20000680 is 8600002.

It is an interprime number because it is at equal distance from previous prime (20000671) and next prime (20000689).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16495 + ... + 17665.

It is an arithmetic number, because the mean of its divisors is an integer number (817470).

Almost surely, 220000680 is an apocalyptic number.

20000680 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 20000680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26159040).

20000680 is an abundant number, since it is smaller than the sum of its proper divisors (32317400).

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

20000680 is a wasteful number, since it uses less digits than its factorization.

20000680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 20000680 is about 4472.2119806646. The cubic root of 20000680 is about 271.4448379646. Note that the first 3 decimals are identical.

Adding to 20000680 its reverse (8600002), we get a palindrome (28600682).

The spelling of 20000680 in words is "twenty million, six hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 244 280 305 427 488 610 854 1171 1220 1708 2135 2342 2440 3416 4270 4684 5855 8197 8540 9368 11710 16394 17080 23420 32788 40985 46840 65576 71431 81970 142862 163940 285724 327880 357155 500017 571448 714310 1000034 1428620 2000068 2500085 2857240 4000136 5000170 10000340 20000680