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1076526464 = 27135231237
BaseRepresentation
bin100000000101010…
…0111110110000000
32210000200012200112
41000022213312000
54201042321324
6254453410452
735451216056
oct10012476600
92700605615
101076526464
115027422a2
12260639a28
13142052510
14a2d8c1d6
156479ac0e
hex402a7d80

1076526464 has 64 divisors (see below), whose sum is σ = 2315901840. Its totient is φ = 495507456.

The previous prime is 1076526421. The next prime is 1076526499. The reversal of 1076526464 is 4646256701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 869654 + ... + 870890.

Almost surely, 21076526464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1076526464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157950920).

1076526464 is an abundant number, since it is smaller than the sum of its proper divisors (1239375376).

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

1076526464 is a wasteful number, since it uses less digits than its factorization.

1076526464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The square root of 1076526464 is about 32810.4627215161. The cubic root of 1076526464 is about 1024.8844490800.

The spelling of 1076526464 in words is "one billion, seventy-six million, five hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 523 832 1046 1237 1664 2092 2474 4184 4948 6799 8368 9896 13598 16081 16736 19792 27196 32162 33472 39584 54392 64324 66944 79168 108784 128648 158336 217568 257296 435136 514592 646951 870272 1029184 1293902 2058368 2587804 5175608 8410363 10351216 16820726 20702432 33641452 41404864 67282904 82809728 134565808 269131616 538263232 1076526464