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2890336820 = 225741503543
BaseRepresentation
bin1010110001000111…
…0000101000110100
321110102200022201212
42230101300220310
521404411234240
61154445540552
7131424312650
oct25421605064
97412608655
102890336820
111253579918
12687b74758
13370a69597
141d5c1ba60
1511db31165
hexac470a34

2890336820 has 48 divisors (see below), whose sum is σ = 7106012928. Its totient is φ = 966800640.

The previous prime is 2890336783. The next prime is 2890336843. The reversal of 2890336820 is 286330982.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (41).

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 15 ways as a sum of consecutive naturals, for example, 246032 + ... + 257511.

It is an arithmetic number, because the mean of its divisors is an integer number (148041936).

Almost surely, 22890336820 is an apocalyptic number.

2890336820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2890336820 is an abundant number, since it is smaller than the sum of its proper divisors (4215676108).

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

2890336820 is a wasteful number, since it uses less digits than its factorization.

2890336820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503600 (or 503598 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 2890336820 is about 53761.8528326545. The cubic root of 2890336820 is about 1424.4574637254.

The spelling of 2890336820 in words is "two billion, eight hundred ninety million, three hundred thirty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 2870 5740 503543 1007086 2014172 2517715 3524801 5035430 7049602 10070860 14099204 17624005 20645263 35248010 41290526 70496020 82581052 103226315 144516841 206452630 289033682 412905260 578067364 722584205 1445168410 2890336820