[go: up one dir, main page]

Search a number
-
+
1300194918 = 2321117596547
BaseRepresentation
bin100110101111111…
…0110011001100110
310100121112202010100
41031133312121212
510130322214133
6333003404530
744135321511
oct11537663146
93317482110
101300194918
11607a20760
12303523746
131794a5909
14c4971d78
157922ce13
hex4d7f6666

1300194918 has 96 divisors (see below), whose sum is σ = 3309621120. Its totient is φ = 364481280.

The previous prime is 1300194881. The next prime is 1300194919. The reversal of 1300194918 is 8194910031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300194919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195321 + ... + 201867.

It is an arithmetic number, because the mean of its divisors is an integer number (34475220).

Almost surely, 21300194918 is an apocalyptic number.

1300194918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300194918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654810560).

1300194918 is an abundant number, since it is smaller than the sum of its proper divisors (2009426202).

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

1300194918 is a wasteful number, since it uses less digits than its factorization.

1300194918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6642 (or 6639 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1300194918 is about 36058.2156796478. The cubic root of 1300194918 is about 1091.4474270321.

The spelling of 1300194918 in words is "one billion, three hundred million, one hundred ninety-four thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 59 66 99 102 118 153 177 187 198 306 354 374 531 561 649 1003 1062 1122 1298 1683 1947 2006 3009 3366 3894 5841 6018 6547 9027 11033 11682 13094 18054 19641 22066 33099 39282 58923 66198 72017 99297 111299 117846 144034 198594 216051 222598 333897 386273 432102 648153 667794 772546 1001691 1158819 1224289 1296306 2003382 2317638 2448578 3476457 3672867 4249003 6566641 6952914 7345734 8498006 11018601 12747009 13133282 19699923 22037202 25494018 38241027 39399846 59099769 72233051 76482054 118199538 144466102 216699153 433398306 650097459 1300194918