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1070536896 = 2632111341317
BaseRepresentation
bin111111110011110…
…001100011000000
32202121101220112200
4333303301203000
54143024140041
6254121153200
735346261552
oct7763614300
92677356480
101070536896
114aa321240
1225a62b800
13140a361b0
14a226d4d2
1563eb61b6
hex3fcf18c0

1070536896 has 336 divisors, whose sum is σ = 3704527008. Its totient is φ = 291225600.

The previous prime is 1070536891. The next prime is 1070536913. The reversal of 1070536896 is 6986350701.

It is a happy number.

1070536896 is a `hidden beast` number, since 107 + 0 + 536 + 8 + 9 + 6 = 666.

It is a super-2 number, since 2×10705368962 = 2292098491394629632, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070536891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3376930 + ... + 3377246.

It is an arithmetic number, because the mean of its divisors is an integer number (11025378).

Almost surely, 21070536896 is an apocalyptic number.

1070536896 is a gapful number since it is divisible by the number (16) 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 1070536896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852263504).

1070536896 is an abundant number, since it is smaller than the sum of its proper divisors (2633990112).

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

1070536896 is a wasteful number, since it uses less digits than its factorization.

1070536896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1070536896 is about 32719.0601332006. The cubic root of 1070536896 is about 1022.9801654780.

The spelling of 1070536896 in words is "one billion, seventy million, five hundred thirty-six thousand, eight hundred ninety-six".