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2990312640 = 26345716481
BaseRepresentation
bin1011001000111100…
…1000110011000000
321201101210121210000
42302033020303000
522111010001030
61212420440000
7134050144440
oct26217106300
97641717700
102990312640
1112a4a54167
126b5549000
133886a2083
14205204120
151277cd860
hexb23c8cc0

2990312640 has 280 divisors, whose sum is σ = 12157386912. Its totient is φ = 683458560.

The previous prime is 2990312599. The next prime is 2990312681. The reversal of 2990312640 is 462130992.

2990312640 is a `hidden beast` number, since 2 + 9 + 9 + 0 + 3 + 1 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2990312599) and next prime (2990312681).

It is a tau number, because it is divible by the number of its divisors (280).

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

It is a junction number, because it is equal to n+sod(n) for n = 2990312595 and 2990312604.

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 39 ways as a sum of consecutive naturals, for example, 173200 + ... + 189680.

Almost surely, 22990312640 is an apocalyptic number.

2990312640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2990312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6078693456).

2990312640 is an abundant number, since it is smaller than the sum of its proper divisors (9167074272).

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

2990312640 is a wasteful number, since it uses less digits than its factorization.

2990312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16517 (or 16498 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2990312640 is about 54683.7511515075. The cubic root of 2990312640 is about 1440.6954973650.

The spelling of 2990312640 in words is "two billion, nine hundred ninety million, three hundred twelve thousand, six hundred forty".