Search a number
-
+
77020230 = 23572912647
BaseRepresentation
bin1001001011100…
…11110001000110
312100221000220010
410211303301012
5124204121410
611350451050
71623442530
oct445636106
9170830803
1077020230
113a526491
1221963a86
1312c59001
14a32c850
156b65c20
hex4973c46

77020230 has 64 divisors (see below), whose sum is σ = 218557440. Its totient is φ = 16996224.

The previous prime is 77020211. The next prime is 77020241. The reversal of 77020230 is 3202077.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 77020197 and 77020206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234 + ... + 12413.

It is an arithmetic number, because the mean of its divisors is an integer number (3414960).

Almost surely, 277020230 is an apocalyptic number.

77020230 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77020230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109278720).

77020230 is an abundant number, since it is smaller than the sum of its proper divisors (141537210).

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

77020230 is a wasteful number, since it uses less digits than its factorization.

77020230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12693.

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 77020230 is about 8776.1170229208. The cubic root of 77020230 is about 425.4693407864.

The spelling of 77020230 in words is "seventy-seven million, twenty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 870 1015 1218 2030 3045 6090 12647 25294 37941 63235 75882 88529 126470 177058 189705 265587 366763 379410 442645 531174 733526 885290 1100289 1327935 1833815 2200578 2567341 2655870 3667630 5134682 5501445 7702023 11002890 12836705 15404046 25673410 38510115 77020230