Search a number
-
+
212067120 = 2435883613
BaseRepresentation
bin11001010001111…
…10001100110000
3112210001010101210
430220332030300
5413242121440
633013200120
75153353326
oct1450761460
9483033353
10212067120
11a9785191
125b030040
1334c20a05
1420243d16
151393ea80
hexca3e330

212067120 has 40 divisors (see below), whose sum is σ = 657408816. Its totient is φ = 56551168.

The previous prime is 212067103. The next prime is 212067133. The reversal of 212067120 is 21760212.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 441567 + ... + 442046.

Almost surely, 2212067120 is an apocalyptic number.

212067120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212067120 is an abundant number, since it is smaller than the sum of its proper divisors (445341696).

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

212067120 is a wasteful number, since it uses less digits than its factorization.

212067120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883629 (or 883623 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 212067120 is about 14562.5245064171. The cubic root of 212067120 is about 596.3361165825.

The spelling of 212067120 in words is "two hundred twelve million, sixty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 883613 1767226 2650839 3534452 4418065 5301678 7068904 8836130 10603356 13254195 14137808 17672260 21206712 26508390 35344520 42413424 53016780 70689040 106033560 212067120