Search a number
-
+
76126131 = 3229377883
BaseRepresentation
bin1001000100110…
…01011110110011
312022020121102100
410202121132303
5123442014011
611315351443
71613030034
oct442313663
9168217370
1076126131
1139a75764
12215b2583
1312a05063
14a178a8b
156a3ad56
hex48997b3

76126131 has 24 divisors (see below), whose sum is σ = 116840880. Its totient is φ = 47670336.

The previous prime is 76126123. The next prime is 76126147. The reversal of 76126131 is 13162167.

76126131 = T2010 + T2011 + ... + T2046.

It is not a de Polignac number, because 76126131 - 23 = 76126123 is a prime.

It is a super-2 number, since 2×761261312 = 11590375642058322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76126095 and 76126104.

It is not an unprimeable number, because it can be changed into a prime (76126181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5716 + ... + 13598.

It is an arithmetic number, because the mean of its divisors is an integer number (4868370).

Almost surely, 276126131 is an apocalyptic number.

76126131 is a deficient number, since it is larger than the sum of its proper divisors (40714749).

76126131 is a wasteful number, since it uses less digits than its factorization.

76126131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7955 (or 7952 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 76126131 is about 8725.0289970865. The cubic root of 76126131 is about 423.8165572746.

Adding to 76126131 its reverse (13162167), we get a palindrome (89288298).

The spelling of 76126131 in words is "seventy-six million, one hundred twenty-six thousand, one hundred thirty-one".

Divisors: 1 3 9 29 37 87 111 261 333 1073 3219 7883 9657 23649 70947 228607 291671 685821 875013 2057463 2625039 8458459 25375377 76126131