[go: up one dir, main page]

Search a number
-
+
102663330 = 2357311907
BaseRepresentation
bin1100001111010…
…00010010100010
321011011211121120
412013220102202
5202240211310
614104233110
72354424000
oct607502242
9234154546
10102663330
1152a50530
122a46b796
1318366b43
14d8c5a70
15902db70
hex61e84a2

102663330 has 128 divisors (see below), whose sum is σ = 313804800. Its totient is φ = 21309120.

The previous prime is 102663313. The next prime is 102663361. The reversal of 102663330 is 33366201.

It is a self number, because there is not a number n which added to its sum of digits gives 102663330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112737 + ... + 113643.

It is an arithmetic number, because the mean of its divisors is an integer number (2451600).

Almost surely, 2102663330 is an apocalyptic number.

102663330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102663330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156902400).

102663330 is an abundant number, since it is smaller than the sum of its proper divisors (211141470).

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

102663330 is a wasteful number, since it uses less digits than its factorization.

102663330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 102663330 is about 10132.2914486310. The cubic root of 102663330 is about 468.2435269207.

The spelling of 102663330 in words is "one hundred two million, six hundred sixty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 147 154 165 210 231 245 294 330 343 385 462 490 539 686 735 770 907 1029 1078 1155 1470 1617 1715 1814 2058 2310 2695 2721 3234 3430 3773 4535 5145 5390 5442 6349 7546 8085 9070 9977 10290 11319 12698 13605 16170 18865 19047 19954 22638 27210 29931 31745 37730 38094 44443 49885 56595 59862 63490 69839 88886 95235 99770 113190 133329 139678 149655 190470 209517 222215 266658 299310 311101 349195 419034 444430 488873 622202 666645 698390 933303 977746 1047585 1333290 1466619 1555505 1866606 2095170 2444365 2933238 3111010 3422111 4666515 4888730 6844222 7333095 9333030 10266333 14666190 17110555 20532666 34221110 51331665 102663330