Search a number
-
+
213376576 = 267268041
BaseRepresentation
bin11001011011111…
…01111001000000
3112212111122122011
430231331321000
5414111022301
633101222304
75200446100
oct1455757100
9485448564
10213376576
11aa499a86
125b561994
133528ba3a
14204a5200
1513aeca51
hexcb7de40

213376576 has 42 divisors (see below), whose sum is σ = 492556038. Its totient is φ = 91445760.

The previous prime is 213376567. The next prime is 213376607. The reversal of 213376576 is 675673312.

It can be written as a sum of positive squares in only one way, i.e., 211993600 + 1382976 = 14560^2 + 1176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30885 + ... + 37156.

Almost surely, 2213376576 is an apocalyptic number.

It is an amenable number.

213376576 is an abundant number, since it is smaller than the sum of its proper divisors (279179462).

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

213376576 is an equidigital number, since it uses as much as digits as its factorization.

213376576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68067 (or 68050 counting only the distinct ones).

The product of its digits is 158760, while the sum is 40.

The square root of 213376576 is about 14607.4151032960. The cubic root of 213376576 is about 597.5610026242.

The spelling of 213376576 in words is "two hundred thirteen million, three hundred seventy-six thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 68041 136082 272164 476287 544328 952574 1088656 1905148 2177312 3334009 3810296 4354624 6668018 7620592 13336036 15241184 26672072 30482368 53344144 106688288 213376576