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213143140 = 225721911447
BaseRepresentation
bin11001011010001…
…00111001100100
3112212001210102101
430231010321210
5414031040030
633052221444
75165454400
oct1455047144
9485053371
10213143140
11aa34a661
125b46a884
1335209702
1420444100
1513aa37ca
hexcb44e64

213143140 has 72 divisors (see below), whose sum is σ = 548130240. Its totient is φ = 69225408.

The previous prime is 213143123. The next prime is 213143149. The reversal of 213143140 is 41341312.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (213143149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12897 + ... + 24343.

It is an arithmetic number, because the mean of its divisors is an integer number (7612920).

Almost surely, 2213143140 is an apocalyptic number.

213143140 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 213143140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274065120).

213143140 is an abundant number, since it is smaller than the sum of its proper divisors (334987100).

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

213143140 is a wasteful number, since it uses less digits than its factorization.

213143140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11489 (or 11480 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 213143140 is about 14599.4225913219. The cubic root of 213143140 is about 597.3430106397.

Adding to 213143140 its reverse (41341312), we get a palindrome (254484452).

The spelling of 213143140 in words is "two hundred thirteen million, one hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 490 532 665 931 980 1330 1862 2660 3724 4655 9310 11447 18620 22894 45788 57235 80129 114470 160258 217493 228940 320516 400645 434986 560903 801290 869972 1087465 1121806 1522451 1602580 2174930 2243612 2804515 3044902 4349860 5609030 6089804 7612255 10657157 11218060 15224510 21314314 30449020 42628628 53285785 106571570 213143140