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820014680 = 23520500367
BaseRepresentation
bin110000111000000…
…110111001011000
32010011000001200002
4300320012321120
53134410432210
6213211432132
726215003232
oct6070067130
92104001602
10820014680
11390971191
121aa755648
13100b6cbb4
147ac99252
154becc4a5
hex30e06e58

820014680 has 16 divisors (see below), whose sum is σ = 1845033120. Its totient is φ = 328005856.

The previous prime is 820014677. The next prime is 820014709. The reversal of 820014680 is 86410028.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10250144 + ... + 10250223.

It is an arithmetic number, because the mean of its divisors is an integer number (115314570).

Almost surely, 2820014680 is an apocalyptic number.

It is an amenable number.

820014680 is an abundant number, since it is smaller than the sum of its proper divisors (1025018440).

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

820014680 is a wasteful number, since it uses less digits than its factorization.

820014680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20500378 (or 20500374 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 820014680 is about 28635.8984493241. The cubic root of 820014680 is about 935.9957477831.

The spelling of 820014680 in words is "eight hundred twenty million, fourteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 20500367 41000734 82001468 102501835 164002936 205003670 410007340 820014680