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1070007040 = 2851943997
BaseRepresentation
bin111111110001110…
…000001100000000
32202120101222201101
4333301300030000
54142410211130
6254101544144
735341624024
oct7761601400
92676358641
101070007040
114a9a9a143
1225a415054
131408abc7b
14a2172384
1563e0e1ca
hex3fc70300

1070007040 has 72 divisors (see below), whose sum is σ = 2697957360. Its totient is φ = 405467136.

The previous prime is 1070007017. The next prime is 1070007041. The reversal of 1070007040 is 407000701.

It is a super-2 number, since 2×10700070402 = 2289830131299123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1070006999 and 1070007017.

It is not an unprimeable number, because it can be changed into a prime (1070007041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2322 + ... + 46318.

It is an arithmetic number, because the mean of its divisors is an integer number (37471630).

Almost surely, 21070007040 is an apocalyptic number.

1070007040 is a gapful number since it is divisible by the number (10) 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 1070007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348978680).

1070007040 is an abundant number, since it is smaller than the sum of its proper divisors (1627950320).

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

1070007040 is an equidigital number, since it uses as much as digits as its factorization.

1070007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44037 (or 44023 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 1070007040 is about 32710.9620769552. The cubic root of 1070007040 is about 1022.8113649349.

Adding to 1070007040 its reverse (407000701), we get a palindrome (1477007741).

The spelling of 1070007040 in words is "one billion, seventy million, seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 608 640 760 1216 1280 1520 2432 3040 4864 6080 12160 24320 43997 87994 175988 219985 351976 439970 703952 835943 879940 1407904 1671886 1759880 2815808 3343772 3519760 4179715 5631616 6687544 7039520 8359430 11263232 13375088 14079040 16718860 26750176 28158080 33437720 53500352 56316160 66875440 107000704 133750880 214001408 267501760 535003520 1070007040