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213127720 = 23513409861
BaseRepresentation
bin11001011010000…
…01001000101000
3112212001000021021
430231001020220
5414030041340
633052022224
75165361421
oct1455011050
9485030237
10213127720
11aa33a013
125b461974
13352026a0
142043c648
1513a9de4a
hexcb41228

213127720 has 32 divisors (see below), whose sum is σ = 516426120. Its totient is φ = 78693120.

The previous prime is 213127711. The next prime is 213127723. The reversal of 213127720 is 27721312.

It can be written as a sum of positive squares in 4 ways, for example, as 71470116 + 141657604 = 8454^2 + 11902^2 .

It is not an unprimeable number, because it can be changed into a prime (213127723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204411 + ... + 205450.

Almost surely, 2213127720 is an apocalyptic number.

213127720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213127720 is an abundant number, since it is smaller than the sum of its proper divisors (303298400).

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

213127720 is a wasteful number, since it uses less digits than its factorization.

213127720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409885 (or 409881 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 213127720 is about 14598.8944786926. The cubic root of 213127720 is about 597.3286052165.

The spelling of 213127720 in words is "two hundred thirteen million, one hundred twenty-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 409861 819722 1639444 2049305 3278888 4098610 5328193 8197220 10656386 16394440 21312772 26640965 42625544 53281930 106563860 213127720