Search a number
-
+
820021480 = 235169312109
BaseRepresentation
bin110000111000001…
…000100011101000
32010011000101222221
4300320020203220
53134411141410
6213211523424
726215032115
oct6070104350
92104011887
10820021480
11390976303
121aa759574
13100b73015
147ac9b90c
154bece4da
hex30e088e8

820021480 has 32 divisors (see below), whose sum is σ = 1846290600. Its totient is φ = 327787776.

The previous prime is 820021453. The next prime is 820021493. The reversal of 820021480 is 84120028.

It can be written as a sum of positive squares in 4 ways, for example, as 799645284 + 20376196 = 28278^2 + 4514^2 .

It is a super-2 number, since 2×8200214802 = 1344870455322780800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61666 + ... + 73774.

Almost surely, 2820021480 is an apocalyptic number.

It is an amenable number.

820021480 is an abundant number, since it is smaller than the sum of its proper divisors (1026269120).

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

820021480 is a wasteful number, since it uses less digits than its factorization.

820021480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13813 (or 13809 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 820021480 is about 28636.0171811654. The cubic root of 820021480 is about 935.9983350349.

The spelling of 820021480 in words is "eight hundred twenty million, twenty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 1693 3386 6772 8465 12109 13544 16930 24218 33860 48436 60545 67720 96872 121090 242180 484360 20500537 41001074 82002148 102502685 164004296 205005370 410010740 820021480