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213240520 = 23517313589
BaseRepresentation
bin11001011010111…
…00101011001000
3112212020202000001
430231130223020
5414042144040
633054252344
75166341323
oct1455345310
9485222001
10213240520
11aa406839
125b4b70b4
1335241b2c
142046b7ba
1513ac259a
hexcb5cac8

213240520 has 32 divisors (see below), whose sum is σ = 508015800. Its totient is φ = 80278528.

The previous prime is 213240497. The next prime is 213240523. The reversal of 213240520 is 25042312.

213240520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 185340996 + 27899524 = 13614^2 + 5282^2 .

It is not an unprimeable number, because it can be changed into a prime (213240523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156115 + ... + 157474.

Almost surely, 2213240520 is an apocalyptic number.

213240520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213240520 is an abundant number, since it is smaller than the sum of its proper divisors (294775280).

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

213240520 is a wasteful number, since it uses less digits than its factorization.

213240520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313617 (or 313613 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 213240520 is about 14602.7572738850. The cubic root of 213240520 is about 597.4339673647.

Adding to 213240520 its reverse (25042312), we get a palindrome (238282832).

The spelling of 213240520 in words is "two hundred thirteen million, two hundred forty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 313589 627178 1254356 1567945 2508712 3135890 5331013 6271780 10662026 12543560 21324052 26655065 42648104 53310130 106620260 213240520