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213551260 = 2251319139311
BaseRepresentation
bin11001011101010…
…00100010011100
3112212211112020221
430232220202130
5414132120020
633105051124
75202104266
oct1456504234
9485745227
10213551260
11aa5a924a
125b626aa4
13353203c0
142050cb36
1513b346aa
hexcba889c

213551260 has 96 divisors (see below), whose sum is σ = 513676800. Its totient is φ = 73923840.

The previous prime is 213551237. The next prime is 213551321. The reversal of 213551260 is 62155312.

It is a congruent number.

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, 686505 + ... + 686815.

It is an arithmetic number, because the mean of its divisors is an integer number (5350800).

Almost surely, 2213551260 is an apocalyptic number.

213551260 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 213551260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256838400).

213551260 is an abundant number, since it is smaller than the sum of its proper divisors (300125540).

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

213551260 is a wasteful number, since it uses less digits than its factorization.

213551260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 213551260 is about 14613.3931720186. The cubic root of 213551260 is about 597.7240256323.

The spelling of 213551260 in words is "two hundred thirteen million, five hundred fifty-one thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 139 190 247 260 278 311 380 494 556 622 695 988 1235 1244 1390 1555 1807 2470 2641 2780 3110 3614 4043 4940 5282 5909 6220 7228 8086 9035 10564 11818 13205 16172 18070 20215 23636 26410 29545 34333 36140 40430 43229 52820 59090 68666 76817 80860 86458 118180 137332 153634 171665 172916 216145 307268 343330 384085 432290 561977 686660 768170 821351 864580 1123954 1536340 1642702 2247908 2809885 3285404 4106755 5619770 8213510 10677563 11239540 16427020 21355126 42710252 53387815 106775630 213551260