Search a number
-
+
2132304120 = 233255923067
BaseRepresentation
bin111111100011000…
…0110000011111000
312111121022021100200
41333012012003320
513331332212440
6551330402200
7103561200042
oct17706060370
95447267320
102132304120
119a46a2711
124b6130360
1327c9bb81b
14163298a92
15c72e8c30
hex7f1860f8

2132304120 has 48 divisors (see below), whose sum is σ = 6929989560. Its totient is φ = 568614336.

The previous prime is 2132304059. The next prime is 2132304121. The reversal of 2132304120 is 214032312.

2132304120 is a `hidden beast` number, since 21 + 3 + 230 + 412 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2132304093 and 2132304102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132304121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2961174 + ... + 2961893.

Almost surely, 22132304120 is an apocalyptic number.

2132304120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132304120 is an abundant number, since it is smaller than the sum of its proper divisors (4797685440).

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

2132304120 is a wasteful number, since it uses less digits than its factorization.

2132304120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5923084 (or 5923077 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2132304120 is about 46176.8786298944. The cubic root of 2132304120 is about 1287.1121264760.

Adding to 2132304120 its reverse (214032312), we get a palindrome (2346336432).

The spelling of 2132304120 in words is "two billion, one hundred thirty-two million, three hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5923067 11846134 17769201 23692268 29615335 35538402 47384536 53307603 59230670 71076804 88846005 106615206 118461340 142153608 177692010 213230412 236922680 266538015 355384020 426460824 533076030 710768040 1066152060 2132304120