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213012990 = 23451913841
BaseRepresentation
bin11001011001001…
…01000111111110
3112211211011220000
430230211013332
5414012403430
633045335130
75164403061
oct1454450776
9484734800
10213012990
11aa2708a3
125b4074a6
13351923b8
142040c8d8
1513a79e60
hexcb251fe

213012990 has 80 divisors (see below), whose sum is σ = 602957520. Its totient is φ = 53809920.

The previous prime is 213012973. The next prime is 213012991. The reversal of 213012990 is 99210312.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213012991) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8470 + ... + 22310.

It is an arithmetic number, because the mean of its divisors is an integer number (7536969).

Almost surely, 2213012990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213012990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301478760).

213012990 is an abundant number, since it is smaller than the sum of its proper divisors (389944530).

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

213012990 is a wasteful number, since it uses less digits than its factorization.

213012990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13879 (or 13870 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 213012990 is about 14594.9645426085. The cubic root of 213012990 is about 597.2214021870.

The spelling of 213012990 in words is "two hundred thirteen million, twelve thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1539 1710 2565 3078 5130 7695 13841 15390 27682 41523 69205 83046 124569 138410 207615 249138 262979 373707 415230 525958 622845 747414 788937 1121121 1245690 1314895 1577874 1868535 2242242 2366811 2629790 3737070 3944685 4733622 5605605 7100433 7889370 11211210 11834055 14200866 21301299 23668110 35502165 42602598 71004330 106506495 213012990