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1264672840 = 235171859813
BaseRepresentation
bin100101101100001…
…0110000001001000
310021010201000222211
41023120112001020
510042224012330
6325254154504
743224353554
oct11330260110
93233630884
101264672840
11599969472
122b3652a34
13172019332
14bdd66864
1576062d2a
hex4b616048

1264672840 has 32 divisors (see below), whose sum is σ = 3012898680. Its totient is φ = 476111872.

The previous prime is 1264672819. The next prime is 1264672841. The reversal of 1264672840 is 482764621.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 916999524 + 347673316 = 30282^2 + 18646^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1264672793 and 1264672802.

It is not an unprimeable number, because it can be changed into a prime (1264672841) by changing a digit.

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, 929227 + ... + 930586.

Almost surely, 21264672840 is an apocalyptic number.

1264672840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1264672840 is an abundant number, since it is smaller than the sum of its proper divisors (1748225840).

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

1264672840 is a wasteful number, since it uses less digits than its factorization.

1264672840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859841 (or 1859837 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 1264672840 is about 35562.2389621351. The cubic root of 1264672840 is about 1081.4158499534.

The spelling of 1264672840 in words is "one billion, two hundred sixty-four million, six hundred seventy-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1859813 3719626 7439252 9299065 14878504 18598130 31616821 37196260 63233642 74392520 126467284 158084105 252934568 316168210 632336420 1264672840