Search a number
-
+
83663190 = 232513233109
BaseRepresentation
bin1001111110010…
…01100101010110
312211102112022200
410333021211112
5132404210230
612145105330
72034061002
oct477114526
9184375280
1083663190
1143253436
1224028246
1314443860
14b17b702
157529160
hex4fc9956

83663190 has 96 divisors (see below), whose sum is σ = 244520640. Its totient is φ = 19692288.

The previous prime is 83663161. The next prime is 83663197. The reversal of 83663190 is 9136638.

It is a happy number.

It is a super-2 number, since 2×836631902 = 13999058721952200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83663197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25356 + ... + 28464.

It is an arithmetic number, because the mean of its divisors is an integer number (2547090).

Almost surely, 283663190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83663190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122260320).

83663190 is an abundant number, since it is smaller than the sum of its proper divisors (160857450).

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

83663190 is a wasteful number, since it uses less digits than its factorization.

83663190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 83663190 is about 9146.7584422024. The cubic root of 83663190 is about 437.3657863139.

The spelling of 83663190 in words is "eighty-three million, six hundred sixty-three thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 30 39 45 46 65 69 78 90 115 117 130 138 195 207 230 234 299 345 390 414 585 598 690 897 1035 1170 1495 1794 2070 2691 2990 3109 4485 5382 6218 8970 9327 13455 15545 18654 26910 27981 31090 40417 46635 55962 71507 80834 93270 121251 139905 143014 202085 214521 242502 279810 357535 363753 404170 429042 606255 643563 715070 727506 929591 1072605 1212510 1287126 1818765 1859182 2145210 2788773 3217815 3637530 4647955 5577546 6435630 8366319 9295910 13943865 16732638 27887730 41831595 83663190