Search a number
-
+
145983821 = 1941672797
BaseRepresentation
bin10001011001110…
…00100101001101
3101011200202011012
420230320211031
5244332440241
622252535005
73421561544
oct1054704515
9334622135
10145983821
1175449895
1240a81465
1324323b79
141556115b
15cc396eb
hex8b3894d

145983821 has 16 divisors (see below), whose sum is σ = 159821760. Its totient is φ = 132865920.

The previous prime is 145983791. The next prime is 145983823. The reversal of 145983821 is 128389541.

It is a cyclic number.

It is not a de Polignac number, because 145983821 - 26 = 145983757 is a prime.

It is a super-3 number, since 3×1459838213 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145983823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50795 + ... + 53591.

It is an arithmetic number, because the mean of its divisors is an integer number (9988860).

Almost surely, 2145983821 is an apocalyptic number.

It is an amenable number.

145983821 is a deficient number, since it is larger than the sum of its proper divisors (13837939).

145983821 is a wasteful number, since it uses less digits than its factorization.

145983821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924.

The product of its digits is 69120, while the sum is 41.

The square root of 145983821 is about 12082.3764632625. The cubic root of 145983821 is about 526.5442916996.

The spelling of 145983821 in words is "one hundred forty-five million, nine hundred eighty-three thousand, eight hundred twenty-one".

Divisors: 1 19 41 67 779 1273 2747 2797 52193 53143 114677 187399 2178863 3560581 7683359 145983821