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1014035064 = 233771151563
BaseRepresentation
bin111100011100001…
…111001001111000
32121200002022121020
4330130033021320
54034043110224
6244342142440
734062104310
oct7434171170
92550068536
101014035064
1148043a609
12243721a20
13132112563
1498962440
155e054c79
hex3c70f278

1014035064 has 128 divisors (see below), whose sum is σ = 2962759680. Its totient is φ = 283248000.

The previous prime is 1014035047. The next prime is 1014035069. The reversal of 1014035064 is 4605304101.

It is a super-2 number, since 2×10140350642 = 2056534222042968192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014035069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1800847 + ... + 1801409.

It is an arithmetic number, because the mean of its divisors is an integer number (23146560).

Almost surely, 21014035064 is an apocalyptic number.

1014035064 is a gapful number since it is divisible by the number (14) 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 1014035064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481379840).

1014035064 is an abundant number, since it is smaller than the sum of its proper divisors (1948724616).

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

1014035064 is a wasteful number, since it uses less digits than its factorization.

1014035064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1014035064 is about 31843.9172213470. The cubic root of 1014035064 is about 1004.6566367423.

Adding to 1014035064 its reverse (4605304101), we get a palindrome (5619339165).

The spelling of 1014035064 in words is "one billion, fourteen million, thirty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 151 168 213 284 302 426 453 497 563 568 604 852 906 994 1057 1126 1208 1491 1689 1704 1812 1988 2114 2252 2982 3171 3378 3624 3941 3976 4228 4504 5964 6342 6756 7882 8456 10721 11823 11928 12684 13512 15764 21442 23646 25368 31528 32163 39973 42884 47292 64326 75047 79946 85013 85768 94584 119919 128652 150094 159892 170026 225141 239838 255039 257304 279811 300188 319784 340052 450282 479676 510078 559622 595091 600376 680104 839433 900564 959352 1020156 1119244 1190182 1678866 1785273 1801128 2040312 2238488 2380364 3357732 3570546 4760728 6035923 6715464 7141092 12071846 14282184 18107769 24143692 36215538 42251461 48287384 72431076 84502922 126754383 144862152 169005844 253508766 338011688 507017532 1014035064