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820465903 = 1915717523
BaseRepresentation
bin110000111001110…
…101000011101111
32010011211222122001
4300321311003233
53140014402103
6213225233131
726221562605
oct6071650357
92104758561
10820465903
1139114a1a4
121aa9327a7
13100c9a3aa
147ad75875
154c06b01d
hex30e750ef

820465903 has 8 divisors (see below), whose sum is σ = 826315776. Its totient is φ = 814632600.

The previous prime is 820465901. The next prime is 820465931. The reversal of 820465903 is 309564028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 820465903 - 21 = 820465901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820465901) 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 7 ways as a sum of consecutive naturals, for example, 105300 + ... + 112822.

It is an arithmetic number, because the mean of its divisors is an integer number (103289472).

Almost surely, 2820465903 is an apocalyptic number.

820465903 is a deficient number, since it is larger than the sum of its proper divisors (5849873).

820465903 is a wasteful number, since it uses less digits than its factorization.

820465903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8285.

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 820465903 is about 28643.7759906057. The cubic root of 820465903 is about 936.1673972981.

The spelling of 820465903 in words is "eight hundred twenty million, four hundred sixty-five thousand, nine hundred three".

Divisors: 1 191 571 7523 109061 1436893 4295633 820465903