Search a number
-
+
76087220 = 225112231367
BaseRepresentation
bin1001000100011…
…11111110110100
312022011122001012
410202033332310
5123434242340
611314451352
71612505426
oct442177664
9168148035
1076087220
1139a49500
1221593b58
13129c0431
14a168816
156a2e565
hex488ffb4

76087220 has 72 divisors (see below), whose sum is σ = 183399552. Its totient is φ = 26445760.

The previous prime is 76087217. The next prime is 76087279. The reversal of 76087220 is 2278067.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54977 + ... + 56343.

It is an arithmetic number, because the mean of its divisors is an integer number (2547216).

Almost surely, 276087220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76087220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91699776).

76087220 is an abundant number, since it is smaller than the sum of its proper divisors (107312332).

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

76087220 is a wasteful number, since it uses less digits than its factorization.

76087220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 76087220 is about 8722.7988627504. The cubic root of 76087220 is about 423.7443353083.

The spelling of 76087220 in words is "seventy-six million, eighty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 121 220 230 242 253 460 484 506 605 1012 1210 1265 1367 2420 2530 2734 2783 5060 5468 5566 6835 11132 13670 13915 15037 27340 27830 30074 31441 55660 60148 62882 75185 125764 150370 157205 165407 300740 314410 330814 345851 628820 661628 691702 827035 1383404 1654070 1729255 3308140 3458510 3804361 6917020 7608722 15217444 19021805 38043610 76087220