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213240420 = 223251962351
BaseRepresentation
bin11001011010111…
…00101001100100
3112212020201212100
430231130221210
5414042143140
633054252100
75166341121
oct1455345144
9485221770
10213240420
11aa406758
125b4b7030
1335241a83
142046b748
1513ac2530
hexcb5ca64

213240420 has 72 divisors (see below), whose sum is σ = 680883840. Its totient is φ = 53870400.

The previous prime is 213240409. The next prime is 213240437. The reversal of 213240420 is 24042312.

213240420 is a `hidden beast` number, since 2 + 1 + 3 + 240 + 420 = 666.

213240420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213240393 and 213240402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27756 + ... + 34595.

It is an arithmetic number, because the mean of its divisors is an integer number (9456720).

Almost surely, 2213240420 is an apocalyptic number.

213240420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213240420 is an abundant number, since it is smaller than the sum of its proper divisors (467643420).

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

213240420 is a wasteful number, since it uses less digits than its factorization.

213240420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62385 (or 62380 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 213240420 is about 14602.7538498737. The cubic root of 213240420 is about 597.4338739750.

Adding to 213240420 its reverse (24042312), we get a palindrome (237282732).

The spelling of 213240420 in words is "two hundred thirteen million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 62351 124702 187053 249404 311755 374106 561159 623510 748212 935265 1122318 1184669 1247020 1870530 2244636 2369338 2805795 3554007 3741060 4738676 5611590 5923345 7108014 10662021 11223180 11846690 14216028 17770035 21324042 23693380 35540070 42648084 53310105 71080140 106620210 213240420