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213671104 = 2623379383
BaseRepresentation
bin11001011110001…
…01110011000000
3112220001121122121
430233011303000
5414144433404
633111414024
75203113553
oct1457056300
9486047577
10213671104
11aa680299
125b684314
1335362b0a
142054069a
1513b59e54
hexcbc5cc0

213671104 has 56 divisors (see below), whose sum is σ = 444764160. Its totient is φ = 101654784.

The previous prime is 213671057. The next prime is 213671119. The reversal of 213671104 is 401176312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 557697 + ... + 558079.

Almost surely, 2213671104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213671104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222382080).

213671104 is an abundant number, since it is smaller than the sum of its proper divisors (231093056).

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

213671104 is a wasteful number, since it uses less digits than its factorization.

213671104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 213671104 is about 14617.4930819207. The cubic root of 213671104 is about 597.8358180612.

The spelling of 213671104 in words is "two hundred thirteen million, six hundred seventy-one thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 379 383 736 758 766 1472 1516 1532 3032 3064 6064 6128 8717 8809 12128 12256 17434 17618 24256 24512 34868 35236 69736 70472 139472 140944 145157 278944 281888 290314 557888 563776 580628 1161256 2322512 3338611 4645024 6677222 9290048 13354444 26708888 53417776 106835552 213671104