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3720983040 = 29325295569
BaseRepresentation
bin1101110111001001…
…1011001000000000
3100121022200112010200
43131302123020000
530110032424130
61413121325200
7161131556025
oct33562331000
910538615120
103720983040
11163a4416a5
1287a196800
13473b8c618
1427428354c
1516ba0d760
hexddc9b200

3720983040 has 240 divisors, whose sum is σ = 13333577400. Its totient is φ = 957874176.

The previous prime is 3720983023. The next prime is 3720983059. The reversal of 3720983040 is 403890273.

It can be written as a sum of positive squares in 4 ways, for example, as 2449062144 + 1271920896 = 49488^2 + 35664^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 3720982986 and 3720983004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665376 + ... + 670944.

Almost surely, 23720983040 is an apocalyptic number.

3720983040 is a gapful number since it is divisible by the number (30) 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 3720983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6666788700).

3720983040 is an abundant number, since it is smaller than the sum of its proper divisors (9612594360).

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

3720983040 is a wasteful number, since it uses less digits than its factorization.

3720983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5627 (or 5608 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3720983040 is about 60999.8609834482. The cubic root of 3720983040 is about 1549.5986529372.

The spelling of 3720983040 in words is "three billion, seven hundred twenty million, nine hundred eighty-three thousand, forty".