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213439080 = 233517234549
BaseRepresentation
bin11001011100011…
…01001001101000
3112212121211101010
430232031021220
5414120022310
633102423520
75201126241
oct1456151150
9485554333
10213439080
11aa531a38
125b591ba0
13352b131a
14204bdcc8
1513b11320
hexcb8d268

213439080 has 128 divisors (see below), whose sum is σ = 707616000. Its totient is φ = 51228672.

The previous prime is 213439069. The next prime is 213439111. The reversal of 213439080 is 80934312.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 44646 + ... + 49194.

It is an arithmetic number, because the mean of its divisors is an integer number (5528250).

Almost surely, 2213439080 is an apocalyptic number.

213439080 is a gapful number since it is divisible by the number (20) 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 213439080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353808000).

213439080 is an abundant number, since it is smaller than the sum of its proper divisors (494176920).

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

213439080 is a wasteful number, since it uses less digits than its factorization.

213439080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4603 (or 4599 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 213439080 is about 14609.5544079893. The cubic root of 213439080 is about 597.6193444023.

It can be divided in two parts, 2134 and 39080, that added together give a palindrome (41214).

The spelling of 213439080 in words is "two hundred thirteen million, four hundred thirty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 23 24 30 34 40 46 51 60 68 69 85 92 102 115 120 136 138 170 184 204 230 255 276 340 345 391 408 460 510 552 680 690 782 920 1020 1173 1380 1564 1955 2040 2346 2760 3128 3910 4549 4692 5865 7820 9098 9384 11730 13647 15640 18196 22745 23460 27294 36392 45490 46920 54588 68235 77333 90980 104627 109176 136470 154666 181960 209254 231999 272940 309332 313881 386665 418508 463998 523135 545880 618664 627762 773330 837016 927996 1046270 1159995 1255524 1546660 1569405 1778659 1855992 2092540 2319990 2511048 3093320 3138810 3557318 4185080 4639980 5335977 6277620 7114636 8893295 9279960 10671954 12555240 14229272 17786590 21343908 26679885 35573180 42687816 53359770 71146360 106719540 213439080