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213160704 = 283433641
BaseRepresentation
bin11001011010010…
…01001100000000
3112212002200111220
430231021030000
5414032120304
633052435040
75165556531
oct1455111400
9485080456
10213160704
11aa361879
125b478a80
13352146c3
142044a688
1513aa8ad9
hexcb49300

213160704 has 72 divisors (see below), whose sum is σ = 569515632. Its totient is φ = 70778880.

The previous prime is 213160693. The next prime is 213160709. The reversal of 213160704 is 407061312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (213160709) 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, 332224 + ... + 332864.

Almost surely, 2213160704 is an apocalyptic number.

213160704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213160704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284757816).

213160704 is an abundant number, since it is smaller than the sum of its proper divisors (356354928).

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

213160704 is an equidigital number, since it uses as much as digits as its factorization.

213160704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 213160704 is about 14600.0241095691. The cubic root of 213160704 is about 597.3594181494.

It can be divided in two parts, 2131 and 60704, that added together give a triangular number (62835 = T354).

The spelling of 213160704 in words is "two hundred thirteen million, one hundred sixty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 433 641 768 866 1282 1299 1732 1923 2564 2598 3464 3846 5128 5196 6928 7692 10256 10392 13856 15384 20512 20784 27712 30768 41024 41568 55424 61536 82048 83136 110848 123072 164096 166272 246144 277553 332544 492288 555106 832659 1110212 1665318 2220424 3330636 4440848 6661272 8881696 13322544 17763392 26645088 35526784 53290176 71053568 106580352 213160704