Search a number
-
+
1070807040 = 2113451291
BaseRepresentation
bin111111110100110…
…011100000000000
32202121220122010000
4333310303200000
54143111311130
6254131040000
735351465262
oct7764634000
92677818100
101070807040
114aa4961a6
1225a740000
13140acc144
14a22ddb32
156401b260
hex3fd33800

1070807040 has 240 divisors, whose sum is σ = 3841077240. Its totient is φ = 285327360.

The previous prime is 1070807029. The next prime is 1070807051. The reversal of 1070807040 is 407080701.

It is an interprime number because it is at equal distance from previous prime (1070807029) and next prime (1070807051).

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

It is a super-2 number, since 2×10708070402 = 2293255433827123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1070806995 and 1070807013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 828795 + ... + 830085.

Almost surely, 21070807040 is an apocalyptic number.

1070807040 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 1070807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920538620).

1070807040 is an abundant number, since it is smaller than the sum of its proper divisors (2770270200).

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

1070807040 is an equidigital number, since it uses as much as digits as its factorization.

1070807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 1070807040 is about 32723.1881087403. The cubic root of 1070807040 is about 1023.0662060161.

Adding to 1070807040 its reverse (407080701), we get a palindrome (1477887741).

The spelling of 1070807040 in words is "one billion, seventy million, eight hundred seven thousand, forty".