Search a number
-
+
1424412132 = 22311131038059
BaseRepresentation
bin101010011100110…
…1100110111100100
310200021021122002220
41110321230313210
510404122142012
6353202032340
750204206023
oct12471546744
93607248086
101424412132
11671052a10
123390486b0
13199148220
14d72688ba
15850b808c
hex54e6cde4

1424412132 has 96 divisors (see below), whose sum is σ = 3943080960. Its totient is φ = 394519680.

The previous prime is 1424412131. The next prime is 1424412151. The reversal of 1424412132 is 2312144241.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1424412131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172719 + ... + 180777.

It is an arithmetic number, because the mean of its divisors is an integer number (41073760).

Almost surely, 21424412132 is an apocalyptic number.

1424412132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1424412132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971540480).

1424412132 is an abundant number, since it is smaller than the sum of its proper divisors (2518668828).

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

1424412132 is a wasteful number, since it uses less digits than its factorization.

1424412132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8193 (or 8191 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 1424412132 is about 37741.3848712524. The cubic root of 1424412132 is about 1125.1537915184.

Adding to 1424412132 its reverse (2312144241), we get a palindrome (3736556373).

The spelling of 1424412132 in words is "one billion, four hundred twenty-four million, four hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 103 132 143 156 206 286 309 412 429 572 618 858 1133 1236 1339 1716 2266 2678 3399 4017 4532 5356 6798 8034 8059 13596 14729 16068 16118 24177 29458 32236 44187 48354 58916 88374 88649 96708 104767 176748 177298 209534 265947 314301 354596 419068 531894 628602 830077 1063788 1152437 1257204 1660154 2304874 2490231 3320308 3457311 4609748 4980462 6914622 9130847 9960924 10791001 13829244 18261694 21582002 27392541 32373003 36523388 43164004 54785082 64746006 109570164 118701011 129492012 237402022 356103033 474804044 712206066 1424412132