Search a number
-
+
770306130 = 2325113792053
BaseRepresentation
bin101101111010011…
…111000001010010
31222200110121100200
4231322133001102
53034144244010
6204234200030
725042331316
oct5572370122
91880417320
10770306130
113658aa440
12195b83016
13c3787359
1474439b46
154795dcc0
hex2de9f052

770306130 has 96 divisors (see below), whose sum is σ = 2191700160. Its totient is φ = 186157440.

The previous prime is 770306129. The next prime is 770306153. The reversal of 770306130 is 31603077.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 770306094 and 770306103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374184 + ... + 376236.

It is an arithmetic number, because the mean of its divisors is an integer number (22830210).

Almost surely, 2770306130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 770306130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095850080).

770306130 is an abundant number, since it is smaller than the sum of its proper divisors (1421394030).

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

770306130 is a wasteful number, since it uses less digits than its factorization.

770306130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 770306130 is about 27754.3893825824. The cubic root of 770306130 is about 916.6870961103.

The spelling of 770306130 in words is "seven hundred seventy million, three hundred six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 379 495 758 990 1137 1895 2053 2274 3411 3790 4106 4169 5685 6159 6822 8338 10265 11370 12318 12507 17055 18477 20530 20845 22583 25014 30795 34110 36954 37521 41690 45166 61590 62535 67749 75042 92385 112915 125070 135498 184770 187605 203247 225830 338745 375210 406494 677490 778087 1016235 1556174 2032470 2334261 3890435 4668522 7002783 7780870 8558957 11671305 14005566 17117914 23342610 25676871 35013915 42794785 51353742 70027830 77030613 85589570 128384355 154061226 256768710 385153065 770306130