Search a number
-
+
145630032 = 2434173999
BaseRepresentation
bin10001010111000…
…10001101010000
3101011000202211220
420223202031100
5244240130112
622241205040
73415556232
oct1053421520
9334022756
10145630032
1175227aa9
1240930780
132422bb22
14154ac252
15cbb998c
hex8ae2350

145630032 has 40 divisors (see below), whose sum is σ = 385392000. Its totient is φ = 47358720.

The previous prime is 145630027. The next prime is 145630081. The reversal of 145630032 is 230036541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 145629984 and 145630011.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 35032 + ... + 38967.

It is an arithmetic number, because the mean of its divisors is an integer number (9634800).

Almost surely, 2145630032 is an apocalyptic number.

145630032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145630032 is an abundant number, since it is smaller than the sum of its proper divisors (239761968).

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

145630032 is a wasteful number, since it uses less digits than its factorization.

145630032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74051 (or 74045 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 145630032 is about 12067.7268779170. The cubic root of 145630032 is about 526.1185909459.

Adding to 145630032 its reverse (230036541), we get a palindrome (375666573).

The spelling of 145630032 in words is "one hundred forty-five million, six hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 73999 147998 221997 295996 443994 591992 887988 1183984 1775976 3033959 3551952 6067918 9101877 12135836 18203754 24271672 36407508 48543344 72815016 145630032