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1070924064 = 253729179307
BaseRepresentation
bin111111110101010…
…000000100100000
32202122010120122020
4333311100010200
54143124032224
6254133341440
735352463410
oct7765200440
92678116566
101070924064
114aa566111
1225a797880
13140b404a2
14a2330640
1564040c79
hex3fd50120

1070924064 has 192 divisors, whose sum is σ = 3353011200. Its totient is φ = 292819968.

The previous prime is 1070924021. The next prime is 1070924077. The reversal of 1070924064 is 4604290701.

It is a happy number.

It is a super-2 number, since 2×10709240642 = 2293756701708552192, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3488199 + ... + 3488505.

It is an arithmetic number, because the mean of its divisors is an integer number (17463600).

Almost surely, 21070924064 is an apocalyptic number.

1070924064 is a gapful number since it is divisible by the number (14) 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 1070924064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676505600).

1070924064 is an abundant number, since it is smaller than the sum of its proper divisors (2282087136).

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

1070924064 is a wasteful number, since it uses less digits than its factorization.

1070924064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1070924064 is about 32724.9761497239. The cubic root of 1070924064 is about 1023.1034735269.

It can be divided in two parts, 107092 and 4064, that added together give a triangular number (111156 = T471).

The spelling of 1070924064 in words is "one billion, seventy million, nine hundred twenty-four thousand, sixty-four".