Search a number
-
+
213882840 = 23325594119
BaseRepresentation
bin11001011111110…
…01011111011000
3112220110101002200
430233321133120
5414223222330
633120130200
75204655063
oct1457713730
9486411080
10213882840
11aa805386
125b766960
13354082c2
14205978da
1513b9ca60
hexcbf97d8

213882840 has 48 divisors (see below), whose sum is σ = 695120400. Its totient is φ = 57035328.

The previous prime is 213882839. The next prime is 213882871. The reversal of 213882840 is 48288312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 213882795 and 213882804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 296700 + ... + 297419.

It is an arithmetic number, because the mean of its divisors is an integer number (14481675).

Almost surely, 2213882840 is an apocalyptic number.

213882840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213882840 is an abundant number, since it is smaller than the sum of its proper divisors (481237560).

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

213882840 is a wasteful number, since it uses less digits than its factorization.

213882840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594136 (or 594129 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 213882840 is about 14624.7338437320. The cubic root of 213882840 is about 598.0332267157.

The spelling of 213882840 in words is "two hundred thirteen million, eight hundred eighty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 594119 1188238 1782357 2376476 2970595 3564714 4752952 5347071 5941190 7129428 8911785 10694142 11882380 14258856 17823570 21388284 23764760 26735355 35647140 42776568 53470710 71294280 106941420 213882840