Search a number
-
+
76320101 = 1113717517
BaseRepresentation
bin1001000110010…
…00110101100101
312022121110111102
410203020311211
5124014220401
611323445445
71614465404
oct443106545
9168543442
1076320101
113a098470
1221686885
1312a72430
14a1c963b
156a7856b
hex48c8d65

76320101 has 16 divisors (see below), whose sum is σ = 90937728. Its totient is φ = 63134400.

The previous prime is 76320091. The next prime is 76320103. The reversal of 76320101 is 10102367.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-76320101 is a prime.

It is a super-3 number, since 3×763201013 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76320103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6395 + ... + 13911.

It is an arithmetic number, because the mean of its divisors is an integer number (5683608).

Almost surely, 276320101 is an apocalyptic number.

76320101 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

76320101 is a deficient number, since it is larger than the sum of its proper divisors (14617627).

76320101 is a wasteful number, since it uses less digits than its factorization.

76320101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7612.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 76320101 is about 8736.1376477251. The cubic root of 76320101 is about 424.1762146540.

Adding to 76320101 its reverse (10102367), we get a palindrome (86422468).

The spelling of 76320101 in words is "seventy-six million, three hundred twenty thousand, one hundred one".

Divisors: 1 11 13 71 143 781 923 7517 10153 82687 97721 533707 1074931 5870777 6938191 76320101