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1070239680 = 2632523107151
BaseRepresentation
bin111111110010101…
…000111111000000
32202120211210211200
4333302220333000
54142440132210
6254110541200
735343613206
oct7762507700
92676753750
101070239680
114aa138a04
1225a507800
13140960b23
14a21d3076
1563e580c0
hex3fca8fc0

1070239680 has 336 divisors, whose sum is σ = 3902805504. Its totient is φ = 268646400.

The previous prime is 1070239673. The next prime is 1070239699. The reversal of 1070239680 is 869320701.

It is a super-2 number, since 2×10702396802 = 2290825945293004800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7087605 + ... + 7087755.

Almost surely, 21070239680 is an apocalyptic number.

1070239680 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 1070239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951402752).

1070239680 is an abundant number, since it is smaller than the sum of its proper divisors (2832565824).

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

1070239680 is a wasteful number, since it uses less digits than its factorization.

1070239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1070239680 is about 32714.5178781531. The cubic root of 1070239680 is about 1022.8854858159.

The spelling of 1070239680 in words is "one billion, seventy million, two hundred thirty-nine thousand, six hundred eighty".