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1070380896 = 253133173379
BaseRepresentation
bin111111110011001…
…011011101100000
32202121002222112220
4333303023131200
54143004142041
6254113551040
735345042004
oct7763133540
92677088486
101070380896
114aa225012
1225a575480
131409b01a0
14a222c704
1563e84d66
hex3fccb760

1070380896 has 192 divisors, whose sum is σ = 3174635520. Its totient is φ = 313528320.

The previous prime is 1070380889. The next prime is 1070380919. The reversal of 1070380896 is 6980830701.

It is a super-2 number, since 2×10703808962 = 2291430525043525632, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2824035 + ... + 2824413.

It is an arithmetic number, because the mean of its divisors is an integer number (16534560).

Almost surely, 21070380896 is an apocalyptic number.

1070380896 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 1070380896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587317760).

1070380896 is an abundant number, since it is smaller than the sum of its proper divisors (2104254624).

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

1070380896 is a wasteful number, since it uses less digits than its factorization.

1070380896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1070380896 is about 32716.6761147889. The cubic root of 1070380896 is about 1022.9304730733.

The spelling of 1070380896 in words is "one billion, seventy million, three hundred eighty thousand, eight hundred ninety-six".