Search a number
-
+
213728076 = 22325936891
BaseRepresentation
bin11001011110100…
…11101101001100
3112220011111210200
430233103231030
5414203244301
633112533500
75203441632
oct1457235514
9486144720
10213728076
11aa70a081
125b6b1290
1335382a23
1420557352
1513b6bc86
hexcbd3b4c

213728076 has 18 divisors (see below), whose sum is σ = 540257172. Its totient is φ = 71242680.

The previous prime is 213728069. The next prime is 213728077. The reversal of 213728076 is 670827312.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 5936891 = 213728076 / (2 + 1 + 3 + 7 + 2 + 8 + 0 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 213728076.

It is not an unprimeable number, because it can be changed into a prime (213728077) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2968410 + ... + 2968481.

Almost surely, 2213728076 is an apocalyptic number.

It is an amenable number.

213728076 is an abundant number, since it is smaller than the sum of its proper divisors (326529096).

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

213728076 is a wasteful number, since it uses less digits than its factorization.

213728076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5936901 (or 5936896 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 213728076 is about 14619.4417130067. The cubic root of 213728076 is about 597.8889478088. Note that the first 3 decimals are identical.

The spelling of 213728076 in words is "two hundred thirteen million, seven hundred twenty-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 5936891 11873782 17810673 23747564 35621346 53432019 71242692 106864038 213728076