Search a number
-
+
1514514016 = 251910922853
BaseRepresentation
bin101101001000101…
…1010011001100000
310220112211021122201
41122101122121200
511100203422031
6410141142544
752350104521
oct13221323140
93815737581
101514514016
117079a3884
1236325aa54
131b1a04652
14105200848
158ce64d61
hex5a45a660

1514514016 has 48 divisors (see below), whose sum is σ = 3167564400. Its totient is φ = 710788608.

The previous prime is 1514514013. The next prime is 1514514121. The reversal of 1514514016 is 6104154151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1514514013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54846 + ... + 77698.

It is an arithmetic number, because the mean of its divisors is an integer number (65990925).

Almost surely, 21514514016 is an apocalyptic number.

1514514016 is a gapful number since it is divisible by the number (16) 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 1514514016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583782200).

1514514016 is an abundant number, since it is smaller than the sum of its proper divisors (1653050384).

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

1514514016 is a wasteful number, since it uses less digits than its factorization.

1514514016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22991 (or 22983 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 1514514016 is about 38916.7575216641. The cubic root of 1514514016 is about 1148.3944869994.

Adding to 1514514016 its reverse (6104154151), we get a palindrome (7618668167).

It can be divided in two parts, 15145 and 14016, that added together give a triangular number (29161 = T241).

The spelling of 1514514016 in words is "one billion, five hundred fourteen million, five hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 19 32 38 76 109 152 218 304 436 608 872 1744 2071 3488 4142 8284 16568 22853 33136 45706 66272 91412 182824 365648 434207 731296 868414 1736828 2490977 3473656 4981954 6947312 9963908 13894624 19927816 39855632 47328563 79711264 94657126 189314252 378628504 757257008 1514514016