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20240820680 = 2354379148961
BaseRepresentation
bin10010110110011100…
…100110100111001000
31221020121200020010012
4102312130212213020
5312423122230210
613144251011052
71314405065003
oct226634464710
957217606105
1020240820680
118647463183
123b0a739a88
131ba7555192
14da029253a
157d6e8a305
hex4b67269c8

20240820680 has 64 divisors (see below), whose sum is σ = 47191161600. Its totient is φ = 7807887360.

The previous prime is 20240820671. The next prime is 20240820683. The reversal of 20240820680 is 8602804202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20240820683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61400 + ... + 210360.

It is an arithmetic number, because the mean of its divisors is an integer number (737361900).

Almost surely, 220240820680 is an apocalyptic number.

20240820680 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 20240820680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23595580800).

20240820680 is an abundant number, since it is smaller than the sum of its proper divisors (26950340920).

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

20240820680 is a wasteful number, since it uses less digits than its factorization.

20240820680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149094 (or 149090 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 20240820680 in words is "twenty billion, two hundred forty million, eight hundred twenty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 43 79 86 158 172 215 316 344 395 430 632 790 860 1580 1720 3160 3397 6794 13588 16985 27176 33970 67940 135880 148961 297922 595844 744805 1191688 1489610 2979220 5958440 6405323 11767919 12810646 23535838 25621292 32026615 47071676 51242584 58839595 64053230 94143352 117679190 128106460 235358380 256212920 470716760 506020517 1012041034 2024082068 2530102585 4048164136 5060205170 10120410340 20240820680