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2900631780 = 2232516114621
BaseRepresentation
bin1010110011100100…
…0010000011100100
321111011001100202200
42230321002003210
521420030204110
61155454334500
7131610651264
oct25471020344
97434040680
102900631780
111259370652
1268b4ba430
13372c32487
141d733b7a4
1511e9b66c0
hexace420e4

2900631780 has 36 divisors (see below), whose sum is σ = 8798583612. Its totient is φ = 773501760.

The previous prime is 2900631763. The next prime is 2900631791. The reversal of 2900631780 is 871360092.

It can be written as a sum of positive squares in 2 ways, for example, as 2040148224 + 860483556 = 45168^2 + 29334^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 8057131 + ... + 8057490.

Almost surely, 22900631780 is an apocalyptic number.

2900631780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2900631780 is an abundant number, since it is smaller than the sum of its proper divisors (5897951832).

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

2900631780 is a wasteful number, since it uses less digits than its factorization.

2900631780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16114636 (or 16114631 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2900631780 is about 53857.5136819367. The cubic root of 2900631780 is about 1426.1466965817.

The spelling of 2900631780 in words is "two billion, nine hundred million, six hundred thirty-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 16114621 32229242 48343863 64458484 80573105 96687726 145031589 161146210 193375452 241719315 290063178 322292420 483438630 580126356 725157945 966877260 1450315890 2900631780