Search a number
-
+
145889968 = 2473142019
BaseRepresentation
bin10001011001000…
…01101010110000
3101011111222102011
420230201222300
5244321434333
622250532304
73421021120
oct1054415260
9334458364
10145889968
1175395324
1240a37094
13242c0233
1415538c80
15cc1b9cd
hex8b21ab0

145889968 has 40 divisors (see below), whose sum is σ = 333470720. Its totient is φ = 60505920.

The previous prime is 145889951. The next prime is 145889969. The reversal of 145889968 is 869988541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145889969) 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 7 ways as a sum of consecutive naturals, for example, 17538 + ... + 24481.

It is an arithmetic number, because the mean of its divisors is an integer number (8336768).

Almost surely, 2145889968 is an apocalyptic number.

It is an amenable number.

145889968 is an abundant number, since it is smaller than the sum of its proper divisors (187580752).

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

145889968 is a wasteful number, since it uses less digits than its factorization.

145889968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42065 (or 42059 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 58.

The square root of 145889968 is about 12078.4919588498. The cubic root of 145889968 is about 526.4314290661.

The spelling of 145889968 in words is "one hundred forty-five million, eight hundred eighty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 42019 84038 168076 294133 336152 588266 672304 1176532 1302589 2353064 2605178 4706128 5210356 9118123 10420712 18236246 20841424 36472492 72944984 145889968