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1070007872 = 26432931327
BaseRepresentation
bin111111110001110…
…000011001000000
32202120102000212012
4333301300121000
54142410222442
6254101552052
735341626323
oct7761603100
92676360765
101070007872
114a9a9a82a
1225a415628
131408ac46b
14a21727ba
1563e0e582
hex3fc70640

1070007872 has 56 divisors (see below), whose sum is σ = 2181734016. Its totient is φ = 520386048.

The previous prime is 1070007871. The next prime is 1070007877. The reversal of 1070007872 is 2787000701.

It is a super-2 number, since 2×10700078722 = 2289833692283936768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1070007871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 805673 + ... + 806999.

It is an arithmetic number, because the mean of its divisors is an integer number (38959536).

Almost surely, 21070007872 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 1070007872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090867008).

1070007872 is an abundant number, since it is smaller than the sum of its proper divisors (1111726144).

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

1070007872 is a wasteful number, since it uses less digits than its factorization.

1070007872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 32.

The square root of 1070007872 is about 32710.9747944020. The cubic root of 1070007872 is about 1022.8116300356.

The spelling of 1070007872 in words is "one billion, seventy million, seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 43 64 86 172 293 344 586 688 1172 1327 1376 2344 2654 2752 4688 5308 9376 10616 12599 18752 21232 25198 42464 50396 57061 84928 100792 114122 201584 228244 388811 403168 456488 777622 806336 912976 1555244 1825952 3110488 3651904 6220976 12441952 16718873 24883904 33437746 66875492 133750984 267501968 535003936 1070007872