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1070606880 = 253257215173
BaseRepresentation
bin111111110100000…
…010101000100000
32202121112110112200
4333310002220200
54143033410010
6254122453200
735350002600
oct7764025040
92677473480
101070606880
114aa369882
1225a664200
13140a5bcc5
14a228ac00
1563ecbcc0
hex3fd02a20

1070606880 has 216 divisors, whose sum is σ = 4250207052. Its totient is φ = 244694016.

The previous prime is 1070606863. The next prime is 1070606881. The reversal of 1070606880 is 886060701.

It can be written as a sum of positive squares in 2 ways, for example, as 1035037584 + 35569296 = 32172^2 + 5964^2 .

It is a super-2 number, since 2×10706068802 = 2292398183006668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1070606881) 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 35 ways as a sum of consecutive naturals, for example, 62974 + ... + 78146.

Almost surely, 21070606880 is an apocalyptic number.

1070606880 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 1070606880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125103526).

1070606880 is an abundant number, since it is smaller than the sum of its proper divisors (3179600172).

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

1070606880 is a wasteful number, since it uses less digits than its factorization.

1070606880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15208 (or 15190 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1070606880 is about 32720.1295840955. The cubic root of 1070606880 is about 1023.0024566867.

The spelling of 1070606880 in words is "one billion, seventy million, six hundred six thousand, eight hundred eighty".