Search a number
-
+
213054540 = 223517208877
BaseRepresentation
bin11001011001011…
…11010001001100
3112211220021212220
430230233101030
5414020221130
633050255340
75164635156
oct1454572114
9484807786
10213054540
11aa29a036
125b427550
13351a829a
142041dad6
1513a87410
hexcb2f44c

213054540 has 48 divisors (see below), whose sum is σ = 631647072. Its totient is φ = 53472256.

The previous prime is 213054539. The next prime is 213054559. The reversal of 213054540 is 45450312.

213054540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2130545402 = 90784474029223200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213054540.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103419 + ... + 105458.

It is an arithmetic number, because the mean of its divisors is an integer number (13159314).

Almost surely, 2213054540 is an apocalyptic number.

213054540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213054540 is an abundant number, since it is smaller than the sum of its proper divisors (418592532).

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

213054540 is a wasteful number, since it uses less digits than its factorization.

213054540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208906 (or 208904 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 213054540 is about 14596.3879093425. The cubic root of 213054540 is about 597.2602307048.

The spelling of 213054540 in words is "two hundred thirteen million, fifty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 208877 417754 626631 835508 1044385 1253262 2088770 2506524 3133155 3550909 4177540 6266310 7101818 10652727 12532620 14203636 17754545 21305454 35509090 42610908 53263635 71018180 106527270 213054540