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213661032 = 233131740283
BaseRepresentation
bin11001011110000…
…11010101101000
3112220001002211120
430233003111220
5414144123112
633111255240
75203042314
oct1457032550
9486032746
10213661032
11aa673772
125b67a520
133535b360
142053ab44
1513b56e8c
hexcbc3568

213661032 has 64 divisors (see below), whose sum is σ = 609094080. Its totient is φ = 61873152.

The previous prime is 213661031. The next prime is 213661079. The reversal of 213661032 is 230166312.

It is a happy number.

213661032 is digitally balanced in base 2 and base 3, because in such bases 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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 213660993 and 213661011.

It is not an unprimeable number, because it can be changed into a prime (213661031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14838 + ... + 25445.

It is an arithmetic number, because the mean of its divisors is an integer number (9517095).

Almost surely, 2213661032 is an apocalyptic number.

It is an amenable number.

213661032 is an abundant number, since it is smaller than the sum of its proper divisors (395433048).

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

213661032 is a wasteful number, since it uses less digits than its factorization.

213661032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40322 (or 40318 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 213661032 is about 14617.1485591411. The cubic root of 213661032 is about 597.8264243453.

The spelling of 213661032 in words is "two hundred thirteen million, six hundred sixty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 5304 40283 80566 120849 161132 241698 322264 483396 523679 684811 966792 1047358 1369622 1571037 2054433 2094716 2739244 3142074 4108866 4189432 5478488 6284148 8217732 8902543 12568296 16435464 17805086 26707629 35610172 53415258 71220344 106830516 213661032