Search a number
-
+
213697380 = 223513273971
BaseRepresentation
bin11001011110011…
…00001101100100
3112220002221200210
430233030031210
5414201304010
633112135420
75203253301
oct1457141544
9486087623
10213697380
11aa699006
125b697570
1335371a70
142054a0a8
1513b62b20
hexcbcc364

213697380 has 48 divisors (see below), whose sum is σ = 644382144. Its totient is φ = 52602240.

The previous prime is 213697373. The next prime is 213697381. The reversal of 213697380 is 83796312.

213697380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (213697381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136206 + ... + 137765.

It is an arithmetic number, because the mean of its divisors is an integer number (13424628).

Almost surely, 2213697380 is an apocalyptic number.

213697380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213697380 is an abundant number, since it is smaller than the sum of its proper divisors (430684764).

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

213697380 is a wasteful number, since it uses less digits than its factorization.

213697380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273996 (or 273994 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 213697380 is about 14618.3918404180. The cubic root of 213697380 is about 597.8603231530.

The spelling of 213697380 in words is "two hundred thirteen million, six hundred ninety-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 273971 547942 821913 1095884 1369855 1643826 2739710 3287652 3561623 4109565 5479420 7123246 8219130 10684869 14246492 16438260 17808115 21369738 35616230 42739476 53424345 71232460 106848690 213697380