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1064249136 = 243241180259
BaseRepresentation
bin111111011011110…
…010011100110000
32202011120110100200
4333123302130300
54134421433021
6253334315200
735241653106
oct7733623460
92664513320
101064249136
114a6817145
122584b8b00
1313c644222
14a14b3c76
1563673126
hex3f6f2730

1064249136 has 60 divisors (see below), whose sum is σ = 3051080760. Its totient is φ = 346095360.

The previous prime is 1064249111. The next prime is 1064249159. The reversal of 1064249136 is 6319424601.

1064249136 is a `hidden beast` number, since 1 + 0 + 642 + 4 + 9 + 1 + 3 + 6 = 666.

It is a super-2 number, since 2×10642491362 = 2265252446953492992, 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 1064249136.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84226 + ... + 96033.

It is an arithmetic number, because the mean of its divisors is an integer number (50851346).

Almost surely, 21064249136 is an apocalyptic number.

1064249136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1064249136 is an abundant number, since it is smaller than the sum of its proper divisors (1986831624).

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

1064249136 is a wasteful number, since it uses less digits than its factorization.

1064249136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180314 (or 180305 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1064249136 is about 32622.8315141405. The cubic root of 1064249136 is about 1020.9734190667.

The spelling of 1064249136 in words is "one billion, sixty-four million, two hundred forty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 180259 360518 540777 721036 1081554 1442072 1622331 2163108 2884144 3244662 4326216 6489324 7390619 8652432 12978648 14781238 22171857 25957296 29562476 44343714 59124952 66515571 88687428 118249904 133031142 177374856 266062284 354749712 532124568 1064249136