Search a number
-
+
14992932760 = 23513157118353
BaseRepresentation
bin11011111011010010…
…11111111110011000
31102200212211220020221
431331221133332120
5221201142322020
610515422325424
71040352553141
oct157551377630
942625756227
1014992932760
1163a4135323
122aa5129874
13154c243360
14a23304ac8
155cb3ba6aa
hex37da5ff98

14992932760 has 64 divisors (see below), whose sum is σ = 36354134880. Its totient is φ = 5532026880.

The previous prime is 14992932733. The next prime is 14992932781. The reversal of 14992932760 is 6723929941.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 14992932698 and 14992932707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 807744 + ... + 826096.

Almost surely, 214992932760 is an apocalyptic number.

14992932760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14992932760 is an abundant number, since it is smaller than the sum of its proper divisors (21361202120).

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

14992932760 is a wasteful number, since it uses less digits than its factorization.

14992932760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19948 (or 19944 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 52.

The spelling of 14992932760 in words is "fourteen billion, nine hundred ninety-two million, nine hundred thirty-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1571 3142 6284 7855 12568 15710 18353 20423 31420 36706 40846 62840 73412 81692 91765 102115 146824 163384 183530 204230 238589 367060 408460 477178 734120 816920 954356 1192945 1908712 2385890 4771780 9543560 28832563 57665126 115330252 144162815 230660504 288325630 374823319 576651260 749646638 1153302520 1499293276 1874116595 2998586552 3748233190 7496466380 14992932760