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1070306496 = 26327318563
BaseRepresentation
bin111111110010111…
…001010011000000
32202120222012111100
4333302321103000
54142444301441
6254112214400
735344312050
oct7762712300
92676865440
101070306496
114aa184126
1225a53a400
1314098536c
14a220d560
1563e6ccb6
hex3fcb94c0

1070306496 has 168 divisors, whose sum is σ = 3619625984. Its totient is φ = 295902720.

The previous prime is 1070306483. The next prime is 1070306521. The reversal of 1070306496 is 6946030701.

1070306496 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 3 + 0 + 649 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×10703064962 = 2291111990759596032, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1070306496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120711 + ... + 129273.

Almost surely, 21070306496 is an apocalyptic number.

1070306496 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 1070306496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809812992).

1070306496 is an abundant number, since it is smaller than the sum of its proper divisors (2549319488).

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

1070306496 is a wasteful number, since it uses less digits than its factorization.

1070306496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8619 (or 8606 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1070306496 is about 32715.5390602081. The cubic root of 1070306496 is about 1022.9067719183.

It can be divided in two parts, 107030 and 6496, that added together give a triangular number (113526 = T476).

The spelling of 1070306496 in words is "one billion, seventy million, three hundred six thousand, four hundred ninety-six".