Search a number
-
+
146143921 = 721121572
BaseRepresentation
bin10001011010111…
…11101010110001
3101011222212202211
420231133222301
5244403101141
622300212121
73423126400
oct1055375261
9334885684
10146143921
1175549100
1240b3a041
132437b9c1
14155a3637
15cc6bd81
hex8b5fab1

146143921 has 27 divisors (see below), whose sum is σ = 188061867. Its totient is φ = 113153040.

The previous prime is 146143913. The next prime is 146143927. The reversal of 146143921 is 129341641.

The square root of 146143921 is 12089.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 42837025 + 103306896 = 6545^2 + 10164^2 .

It is not a de Polignac number, because 146143921 - 23 = 146143913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146143927) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 930775 + ... + 930931.

Almost surely, 2146143921 is an apocalyptic number.

146143921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

146143921 is the 12089-th square number.

146143921 is the 6045-th centered octagonal number.

It is an amenable number.

146143921 is a deficient number, since it is larger than the sum of its proper divisors (41917946).

146143921 is an equidigital number, since it uses as much as digits as its factorization.

146143921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 175 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The cubic root of 146143921 is about 526.7367078687.

Multiplying 146143921 by its product of digits (5184), we get a square (757610086464 = 8704082).

The spelling of 146143921 in words is "one hundred forty-six million, one hundred forty-three thousand, nine hundred twenty-one".

Divisors: 1 7 11 49 77 121 157 539 847 1099 1727 5929 7693 12089 18997 24649 84623 132979 172543 271139 930853 1207801 1897973 2982529 13285811 20877703 146143921