Search a number
-
+
1164744126 = 2327136111657
BaseRepresentation
bin100010101101100…
…1001010110111110
310000011200010120100
41011123021112332
54341133303001
6311324301530
740602106320
oct10533112676
93004603510
101164744126
11548516557
122860a18a6
131573cc110
14b0993610
156c3c4586
hex456c95be

1164744126 has 96 divisors (see below), whose sum is σ = 3157172928. Its totient is φ = 302123520.

The previous prime is 1164744109. The next prime is 1164744169. The reversal of 1164744126 is 6214474611.

It is a happy number.

1164744126 is a `hidden beast` number, since 1 + 1 + 647 + 4 + 4 + 1 + 2 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94090 + ... + 105746.

It is an arithmetic number, because the mean of its divisors is an integer number (32887218).

Almost surely, 21164744126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1164744126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578586464).

1164744126 is an abundant number, since it is smaller than the sum of its proper divisors (1992428802).

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

1164744126 is a wasteful number, since it uses less digits than its factorization.

1164744126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11746 (or 11743 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 1164744126 is about 34128.3478357802. The cubic root of 1164744126 is about 1052.1480217678.

The spelling of 1164744126 in words is "one billion, one hundred sixty-four million, seven hundred forty-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 61 63 78 91 117 122 126 182 183 234 273 366 427 546 549 793 819 854 1098 1281 1586 1638 2379 2562 3843 4758 5551 7137 7686 11102 11657 14274 16653 23314 33306 34971 49959 69942 81599 99918 104913 151541 163198 209826 244797 303082 454623 489594 711077 734391 909246 1060787 1363869 1422154 1468782 2121574 2133231 2727738 3182361 4266462 4977539 6364722 6399693 9244001 9547083 9955078 12799386 14932617 18488002 19094166 27732003 29865234 44797851 55464006 64708007 83196009 89595702 129416014 166392018 194124021 388248042 582372063 1164744126