Search a number
-
+
146242632 = 2339762819
BaseRepresentation
bin10001011011101…
…11110001001000
3101012011220011210
420231313301020
5244414231012
622302253120
73424020234
oct1055676110
9335156153
10146242632
1175606288
1240b871a0
13243b4903
14155cb5c4
15cc8b23c
hex8b77c48

146242632 has 32 divisors (see below), whose sum is σ = 369381600. Its totient is φ = 48244224.

The previous prime is 146242631. The next prime is 146242637. The reversal of 146242632 is 236242641.

146242632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 146242632.

It is not an unprimeable number, because it can be changed into a prime (146242631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29082 + ... + 33737.

It is an arithmetic number, because the mean of its divisors is an integer number (11543175).

Almost surely, 2146242632 is an apocalyptic number.

146242632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146242632 is an abundant number, since it is smaller than the sum of its proper divisors (223138968).

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

146242632 is a wasteful number, since it uses less digits than its factorization.

146242632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62925 (or 62921 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 146242632 is about 12093.0819893028. The cubic root of 146242632 is about 526.8552736515.

Subtracting 146242632 from its reverse (236242641), we obtain a palindrome (90000009).

The spelling of 146242632 in words is "one hundred forty-six million, two hundred forty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 97 194 291 388 582 776 1164 2328 62819 125638 188457 251276 376914 502552 753828 1507656 6093443 12186886 18280329 24373772 36560658 48747544 73121316 146242632