Search a number
-
+
5100354 = 2337103131
BaseRepresentation
bin10011011101001101000010
3100121010101000
4103131031002
52301202404
6301152430
761231560
oct23351502
910533330
105100354
112973a76
12185b716
13109767c
1496aa30
156ab339
hex4dd342

5100354 has 64 divisors (see below), whose sum is σ = 13178880. Its totient is φ = 1432080.

The previous prime is 5100353. The next prime is 5100367. The reversal of 5100354 is 4530015.

It is a super-2 number, since 2×51003542 = 52027221850632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5100353) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 38869 + ... + 38999.

It is an arithmetic number, because the mean of its divisors is an integer number (205920).

Almost surely, 25100354 is an apocalyptic number.

5100354 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5100354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589440).

5100354 is an abundant number, since it is smaller than the sum of its proper divisors (8078526).

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

5100354 is a wasteful number, since it uses less digits than its factorization.

5100354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5100354 is about 2258.3963336846. The cubic root of 5100354 is about 172.1340445976.

Adding to 5100354 its reverse (4530015), we get a palindrome (9630369).

The spelling of 5100354 in words is "five million, one hundred thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 103 126 131 189 206 262 309 378 393 618 721 786 917 927 1179 1442 1834 1854 2163 2358 2751 2781 3537 4326 5502 5562 6489 7074 8253 12978 13493 16506 19467 24759 26986 38934 40479 49518 80958 94451 121437 188902 242874 283353 364311 566706 728622 850059 1700118 2550177 5100354