Search a number
-
+
51131034 = 2338910639
BaseRepresentation
bin1100001100001…
…1001010011010
310120012201121000
43003003022122
5101042143114
65023525430
71160415033
oct303031232
9116181530
1051131034
1126953559
1215159876
13a793166
146b0da8a
15474ee09
hex30c329a

51131034 has 32 divisors (see below), whose sum is σ = 114912000. Its totient is φ = 16850592.

The previous prime is 51131029. The next prime is 51131039. The reversal of 51131034 is 43013115.

It is an interprime number because it is at equal distance from previous prime (51131029) and next prime (51131039).

It is a super-2 number, since 2×511310342 = 5228765275818312, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 51130998 and 51131016.

It is not an unprimeable number, because it can be changed into a prime (51131039) 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 15 ways as a sum of consecutive naturals, for example, 514 + ... + 10125.

It is an arithmetic number, because the mean of its divisors is an integer number (3591000).

Almost surely, 251131034 is an apocalyptic number.

51131034 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 51131034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57456000).

51131034 is an abundant number, since it is smaller than the sum of its proper divisors (63780966).

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

51131034 is a wasteful number, since it uses less digits than its factorization.

51131034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10739 (or 10733 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 51131034 is about 7150.5967583133. The cubic root of 51131034 is about 371.1603068700.

Adding to 51131034 its reverse (43013115), we get a palindrome (94144149).

The spelling of 51131034 in words is "fifty-one million, one hundred thirty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 89 178 267 534 801 1602 2403 4806 10639 21278 31917 63834 95751 191502 287253 574506 946871 1893742 2840613 5681226 8521839 17043678 25565517 51131034