Search a number
-
+
11642940 = 223457187
BaseRepresentation
bin101100011010…
…100000111100
3210220112010000
4230122200330
510440033230
61053314300
7200651301
oct54324074
923815100
1011642940
116632571
123a95990
13254861a
1417910a8
15104eb60
hexb1a83c

11642940 has 60 divisors (see below), whose sum is σ = 36529416. Its totient is φ = 3104352.

The previous prime is 11642933. The next prime is 11642947. The reversal of 11642940 is 4924611.

11642940 is a `hidden beast` number, since 11 + 642 + 9 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11642933) and next prime (11642947).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11642947) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1974 + ... + 5213.

Almost surely, 211642940 is an apocalyptic number.

11642940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11642940 is an abundant number, since it is smaller than the sum of its proper divisors (24886476).

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

11642940 is a wasteful number, since it uses less digits than its factorization.

11642940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7208 (or 7197 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 11642940 is about 3412.1752592738. The cubic root of 11642940 is about 226.6492153039.

The spelling of 11642940 in words is "eleven million, six hundred forty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 7187 14374 21561 28748 35935 43122 64683 71870 86244 107805 129366 143740 194049 215610 258732 323415 388098 431220 582147 646830 776196 970245 1164294 1293660 1940490 2328588 2910735 3880980 5821470 11642940