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213763290 = 235133117681
BaseRepresentation
bin11001011110111…
…00010011011010
3112220020022002220
430233130103122
5414210411130
633113404510
75203646406
oct1457342332
9486208086
10213763290
11aa733584
125b709736
1335395a70
1420566106
1513b77410
hexcbdc4da

213763290 has 64 divisors (see below), whose sum is σ = 570350592. Its totient is φ = 50918400.

The previous prime is 213763289. The next prime is 213763307. The reversal of 213763290 is 92367312.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3250 + ... + 20930.

It is an arithmetic number, because the mean of its divisors is an integer number (8911728).

Almost surely, 2213763290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213763290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285175296).

213763290 is an abundant number, since it is smaller than the sum of its proper divisors (356587302).

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

213763290 is a wasteful number, since it uses less digits than its factorization.

213763290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17735.

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 213763290 is about 14620.6460185588. The cubic root of 213763290 is about 597.9217822179.

The spelling of 213763290 in words is "two hundred thirteen million, seven hundred sixty-three thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 186 195 310 390 403 465 806 930 1209 2015 2418 4030 6045 12090 17681 35362 53043 88405 106086 176810 229853 265215 459706 530430 548111 689559 1096222 1149265 1379118 1644333 2298530 2740555 3288666 3447795 5481110 6895590 7125443 8221665 14250886 16443330 21376329 35627215 42752658 71254430 106881645 213763290