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820260474 = 231137335897
BaseRepresentation
bin110000111001000…
…010111001111010
32010011110112211120
4300321002321322
53134441313344
6213221010110
726220045645
oct6071027172
92104415746
10820260474
11391019920
121aa853936
13100c27a37
147ad20a5c
154c02a219
hex30e42e7a

820260474 has 32 divisors (see below), whose sum is σ = 1838033856. Its totient is φ = 241845120.

The previous prime is 820260451. The next prime is 820260481. The reversal of 820260474 is 474062028.

820260474 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

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, 165507 + ... + 170390.

It is an arithmetic number, because the mean of its divisors is an integer number (57438558).

Almost surely, 2820260474 is an apocalyptic number.

820260474 is an abundant number, since it is smaller than the sum of its proper divisors (1017773382).

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

820260474 is a wasteful number, since it uses less digits than its factorization.

820260474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335950.

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 820260474 is about 28640.1898387563. The cubic root of 820260474 is about 936.0892579611.

The spelling of 820260474 in words is "eight hundred twenty million, two hundred sixty thousand, four hundred seventy-four".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 335897 671794 1007691 2015382 3694867 7389734 11084601 12428189 22169202 24856378 37284567 74569134 136710079 273420158 410130237 820260474