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76668930 = 236513809
BaseRepresentation
bin1001001000111…
…10000000000010
312100021012000000
410210132000002
5124111401210
611335140430
71620450402
oct444360002
9170235000
1076668930
113a306558
1221814716
1312b65140
14a27a802
156ae6ac0
hex491e002

76668930 has 112 divisors (see below), whose sum is σ = 223103160. Its totient is φ = 18849024.

The previous prime is 76668923. The next prime is 76668931. The reversal of 76668930 is 3986667.

It can be written as a sum of positive squares in 4 ways, for example, as 62583921 + 14085009 = 7911^2 + 3753^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (76668931) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 94366 + ... + 95174.

Almost surely, 276668930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76668930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111551580).

76668930 is an abundant number, since it is smaller than the sum of its proper divisors (146434230).

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

76668930 is a wasteful number, since it uses less digits than its factorization.

76668930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 76668930 is about 8756.0796021964. The cubic root of 76668930 is about 424.8214798102.

It can be divided in two parts, 766 and 68930, that added together give a palindrome (69696).

The spelling of 76668930 in words is "seventy-six million, six hundred sixty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 243 270 351 390 405 486 585 702 729 809 810 1053 1170 1215 1458 1618 1755 2106 2427 2430 3159 3510 3645 4045 4854 5265 6318 7281 7290 8090 9477 10517 10530 12135 14562 15795 18954 21034 21843 24270 31551 31590 36405 43686 47385 52585 63102 65529 72810 94653 94770 105170 109215 131058 157755 189306 196587 218430 283959 315510 327645 393174 473265 567918 589761 655290 851877 946530 982935 1179522 1419795 1703754 1965870 2555631 2839590 2948805 4259385 5111262 5897610 7666893 8518770 12778155 15333786 25556310 38334465 76668930