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820612940 = 225743313537
BaseRepresentation
bin110000111010011…
…000111101001100
32010012010110022212
4300322120331030
53140034103230
6213232325552
726223044360
oct6072307514
92105113285
10820612940
1139123a714
121aa9a38b8
1310101c2b4
147adb32a0
154c099895
hex30e98f4c

820612940 has 48 divisors (see below), whose sum is σ = 1974165312. Its totient is φ = 280682496.

The previous prime is 820612927. The next prime is 820612957. The reversal of 820612940 is 49216028.

820612940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 820612897 and 820612906.

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, 53852 + ... + 67388.

It is an arithmetic number, because the mean of its divisors is an integer number (41128444).

Almost surely, 2820612940 is an apocalyptic number.

It is an amenable number.

820612940 is an abundant number, since it is smaller than the sum of its proper divisors (1153552372).

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

820612940 is a wasteful number, since it uses less digits than its factorization.

820612940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13986 (or 13984 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 820612940 is about 28646.3425239593. The cubic root of 820612940 is about 936.2233179740.

Subtracting from 820612940 its product of nonzero digits (6912), we obtain a palindrome (820606028).

Adding to 820612940 its reverse (49216028), we get a palindrome (869828968).

The spelling of 820612940 in words is "eight hundred twenty million, six hundred twelve thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 433 866 1732 2165 3031 4330 6062 8660 12124 13537 15155 27074 30310 54148 60620 67685 94759 135370 189518 270740 379036 473795 947590 1895180 5861521 11723042 23446084 29307605 41030647 58615210 82061294 117230420 164122588 205153235 410306470 820612940