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1385513064 = 2332132336353
BaseRepresentation
bin101001010010101…
…0100000001101000
310120120002100121200
41102211110001220
510314142404224
6345252204200
746222444455
oct12245240150
93516070550
101385513064
116510a4521
12328009660
13191078820
14d202082c
15819825c9
hex52954068

1385513064 has 96 divisors (see below), whose sum is σ = 4059062280. Its totient is φ = 424415232.

The previous prime is 1385513053. The next prime is 1385513081. The reversal of 1385513064 is 4603155831.

1385513064 is a `hidden beast` number, since 1 + 3 + 85 + 513 + 0 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 717704100 + 667808964 = 26790^2 + 25842^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 214912 + ... + 221264.

Almost surely, 21385513064 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 1385513064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029531140).

1385513064 is an abundant number, since it is smaller than the sum of its proper divisors (2673549216).

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

1385513064 is a wasteful number, since it uses less digits than its factorization.

1385513064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6611 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1385513064 is about 37222.4806266321. The cubic root of 1385513064 is about 1114.8168947312.

Adding to 1385513064 its reverse (4603155831), we get a palindrome (5988668895).

The spelling of 1385513064 in words is "one billion, three hundred eighty-five million, five hundred thirteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 233 234 312 466 468 699 932 936 1398 1864 2097 2796 3029 4194 5592 6058 6353 8388 9087 12116 12706 16776 18174 19059 24232 25412 27261 36348 38118 50824 54522 57177 72696 76236 82589 109044 114354 152472 165178 218088 228708 247767 330356 457416 495534 660712 743301 991068 1480249 1486602 1982136 2960498 2973204 4440747 5920996 5946408 8881494 11841992 13322241 17762988 19243237 26644482 35525976 38486474 53288964 57729711 76972948 106577928 115459422 153945896 173189133 230918844 346378266 461837688 692756532 1385513064