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1070615040 = 293511192329
BaseRepresentation
bin111111110100000…
…100101000000000
32202121112212201220
4333310010220000
54143034140130
6254122555040
735350035435
oct7764045000
92677485656
101070615040
114aa374a20
1225a668a80
13140a62931
14a228db8c
1563ece410
hex3fd04a00

1070615040 has 640 divisors, whose sum is σ = 4242585600. Its totient is φ = 227082240.

The previous prime is 1070615033. The next prime is 1070615041. The reversal of 1070615040 is 405160701.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×10706150402 = 2292433127748403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1070615040.

It is not an unprimeable number, because it can be changed into a prime (1070615041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36917746 + ... + 36917774.

It is an arithmetic number, because the mean of its divisors is an integer number (6629040).

Almost surely, 21070615040 is an apocalyptic number.

1070615040 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 1070615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121292800).

1070615040 is an abundant number, since it is smaller than the sum of its proper divisors (3171970560).

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

1070615040 is a wasteful number, since it uses less digits than its factorization.

1070615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 1070615040 is about 32720.2542777406. The cubic root of 1070615040 is about 1023.0050557355.

Adding to 1070615040 its reverse (405160701), we get a palindrome (1475775741).

It can be divided in two parts, 107061 and 5040, that added together give a triangular number (112101 = T473).

The spelling of 1070615040 in words is "one billion, seventy million, six hundred fifteen thousand, forty".