Search a number
-
+
215835080 = 23553611669
BaseRepresentation
bin11001101110101…
…10000111001000
3120001010120001212
430313112013020
5420223210310
633230032252
75230365536
oct1467260710
9501116055
10215835080
111009190aa
1260348688
133593ca86
1420945156
1513e36205
hexcdd61c8

215835080 has 64 divisors (see below), whose sum is σ = 503204400. Its totient is φ = 83266560.

The previous prime is 215835071. The next prime is 215835107. The reversal of 215835080 is 80538512.

It is a happy number.

215835080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 57729604 + 158105476 = 7598^2 + 12574^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128486 + ... + 130154.

Almost surely, 2215835080 is an apocalyptic number.

215835080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215835080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251602200).

215835080 is an abundant number, since it is smaller than the sum of its proper divisors (287369320).

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

215835080 is a wasteful number, since it uses less digits than its factorization.

215835080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 215835080 is about 14691.3266929845. The cubic root of 215835080 is about 599.8472574158.

The spelling of 215835080 in words is "two hundred fifteen million, eight hundred thirty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 53 61 106 122 212 244 265 305 424 488 530 610 1060 1220 1669 2120 2440 3233 3338 6466 6676 8345 12932 13352 16165 16690 25864 32330 33380 64660 66760 88457 101809 129320 176914 203618 353828 407236 442285 509045 707656 814472 884570 1018090 1769140 2036180 3538280 4072360 5395877 10791754 21583508 26979385 43167016 53958770 107917540 215835080