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2990183040 = 27365131729
BaseRepresentation
bin1011001000111010…
…1001001010000000
321201101120001000000
42302032221022000
522110441324130
61212414000000
7134046064545
oct26216511200
97641501000
102990183040
1112a4975859
126b54a6000
133886580a0
142051acbcc
151277a5260
hexb23a9280

2990183040 has 896 divisors, whose sum is σ = 12642512400. Its totient is φ = 668860416.

The previous prime is 2990183039. The next prime is 2990183041. The reversal of 2990183040 is 403810992.

It is an interprime number because it is at equal distance from previous prime (2990183039) and next prime (2990183041).

It can be written as a sum of positive squares in 8 ways, for example, as 1179510336 + 1810672704 = 34344^2 + 42552^2 .

It is a super-2 number, since 2×29901830402 = 17882389225407283200, which contains 22 as substring.

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 = 2990182986 and 2990183004.

It is not an unprimeable number, because it can be changed into a prime (2990183041) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 103109746 + ... + 103109774.

Almost surely, 22990183040 is an apocalyptic number.

2990183040 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 2990183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6321256200).

2990183040 is an abundant number, since it is smaller than the sum of its proper divisors (9652329360).

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

2990183040 is a wasteful number, since it uses less digits than its factorization.

2990183040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2990183040 is about 54682.5661431502. The cubic root of 2990183040 is about 1440.6746838407.

The spelling of 2990183040 in words is "two billion, nine hundred ninety million, one hundred eighty-three thousand, forty".