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213120 = 2732537
BaseRepresentation
bin110100000010000000
3101211100100
4310002000
523304440
64322400
71545225
oct640200
9354310
10213120
11136136
12a3400
137600b
145794c
1543230
hex34080

213120 has 96 divisors (see below), whose sum is σ = 755820. Its totient is φ = 55296.

The previous prime is 213119. The next prime is 213131. The reversal of 213120 is 21312.

Adding to 213120 its reverse (21312), we get a palindrome (234432).

It can be divided in two parts, 213 and 120, that added together give a palindrome (333).

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 207936 + 5184 = 456^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5742 + ... + 5778.

2213120 is an apocalyptic number.

213120 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 213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377910).

213120 is an abundant number, since it is smaller than the sum of its proper divisors (542700).

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

213120 is a wasteful number, since it uses less digits than its factorization.

213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 213120 is about 461.6492174801. The cubic root of 213120 is about 59.7321392902.

The spelling of 213120 in words is "two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 64 72 74 80 90 96 111 120 128 144 148 160 180 185 192 222 240 288 296 320 333 360 370 384 444 480 555 576 592 640 666 720 740 888 960 1110 1152 1184 1332 1440 1480 1665 1776 1920 2220 2368 2664 2880 2960 3330 3552 4440 4736 5328 5760 5920 6660 7104 8880 10656 11840 13320 14208 17760 21312 23680 26640 35520 42624 53280 71040 106560 213120