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1061074944 = 2113331619
BaseRepresentation
bin111111001111101…
…011100000000000
32201221121012012000
4333033223200000
54133113344234
6253142304000
735202662646
oct7717534000
92657535160
101061074944
114a4a49346
12257428000
1313baa24c7
14a0cc9196
1563247899
hex3f3eb800

1061074944 has 192 divisors, whose sum is σ = 3249792000. Its totient is φ = 341729280.

The previous prime is 1061074933. The next prime is 1061074981. The reversal of 1061074944 is 4494701601.

1061074944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10610749442 = 2251760073569206272, 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 = 1061074899 and 1061074908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1713867 + ... + 1714485.

It is an arithmetic number, because the mean of its divisors is an integer number (16926000).

Almost surely, 21061074944 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 1061074944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624896000).

1061074944 is an abundant number, since it is smaller than the sum of its proper divisors (2188717056).

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

1061074944 is an equidigital number, since it uses as much as digits as its factorization.

1061074944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1061074944 is about 32574.1453303076. The cubic root of 1061074944 is about 1019.9573684604.

The spelling of 1061074944 in words is "one billion, sixty-one million, seventy-four thousand, nine hundred forty-four".