Search a number
-
+
213350040 = 23325592639
BaseRepresentation
bin11001011011101…
…11011010011000
3112212110022020100
430231313122120
5414104200130
633100455400
75200305531
oct1455673230
9485408210
10213350040
11aa481052
125b54a560
133527c937
1420499688
1513ae4c60
hexcb77698

213350040 has 48 divisors (see below), whose sum is σ = 693388800. Its totient is φ = 56893248.

The previous prime is 213350003. The next prime is 213350063. The reversal of 213350040 is 40053312.

213350040 is digitally balanced in base 3, 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 = 213349995 and 213350022.

It is a congruent number.

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, 295960 + ... + 296679.

It is an arithmetic number, because the mean of its divisors is an integer number (14445600).

Almost surely, 2213350040 is an apocalyptic number.

213350040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213350040 is an abundant number, since it is smaller than the sum of its proper divisors (480038760).

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

213350040 is a wasteful number, since it uses less digits than its factorization.

213350040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592656 (or 592649 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 213350040 is about 14606.5067692450. The cubic root of 213350040 is about 597.5362302453.

The spelling of 213350040 in words is "two hundred thirteen million, three hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 592639 1185278 1777917 2370556 2963195 3555834 4741112 5333751 5926390 7111668 8889585 10667502 11852780 14223336 17779170 21335004 23705560 26668755 35558340 42670008 53337510 71116680 106675020 213350040