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5947007040 = 26365133753
BaseRepresentation
bin1011000100111100…
…00010000001000000
3120100110100021000000
411202132002001000
544134413211130
62422041000000
7300241503642
oct54236020100
916313307000
105947007040
112581a26457
12119b783000
1373a1032a0
14405b76892
1524c16b260
hex162782040

5947007040 has 784 divisors, whose sum is σ = 23926574448. Its totient is φ = 1397440512.

The previous prime is 5947007023. The next prime is 5947007069. The reversal of 5947007040 is 407007495.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 34012224 + 5912994816 = 5832^2 + 76896^2 .

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 = 5947006986 and 5947007004.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 112207654 + ... + 112207706.

Almost surely, 25947007040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5947007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11963287224).

5947007040 is an abundant number, since it is smaller than the sum of its proper divisors (17979567408).

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

5947007040 is a wasteful number, since it uses less digits than its factorization.

5947007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5947007040 is about 77116.8401842295. The cubic root of 5947007040 is about 1811.7550653534.

The spelling of 5947007040 in words is "five billion, nine hundred forty-seven million, seven thousand, forty".