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146028432 = 243111931433
BaseRepresentation
bin10001011010000…
…11011110010000
3101011210000100110
420231003132100
5244340402212
622253521320
73422135604
oct1055033620
9334700313
10146028432
117547a360
1240aa3240
132433b274
1415573504
15cc47a3c
hex8b43790

146028432 has 80 divisors (see below), whose sum is σ = 413955648. Its totient is φ = 43991040.

The previous prime is 146028401. The next prime is 146028439. The reversal of 146028432 is 234820641.

It is a self number, because there is not a number n which added to its sum of digits gives 146028432.

It is not an unprimeable number, because it can be changed into a prime (146028439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101188 + ... + 102620.

Almost surely, 2146028432 is an apocalyptic number.

146028432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146028432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206977824).

146028432 is an abundant number, since it is smaller than the sum of its proper divisors (267927216).

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

146028432 is a wasteful number, since it uses less digits than its factorization.

146028432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 146028432 is about 12084.2224408524. Note that the first 3 decimals coincide. The cubic root of 146028432 is about 526.5979215583.

It can be divided in two parts, 1460 and 28432, that added together give a palindrome (29892).

The spelling of 146028432 in words is "one hundred forty-six million, twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 193 264 386 528 579 772 1158 1433 1544 2123 2316 2866 3088 4246 4299 4632 5732 6369 8492 8598 9264 11464 12738 15763 16984 17196 22928 25476 31526 33968 34392 47289 50952 63052 68784 94578 101904 126104 189156 252208 276569 378312 553138 756624 829707 1106276 1659414 2212552 3042259 3318828 4425104 6084518 6637656 9126777 12169036 13275312 18253554 24338072 36507108 48676144 73014216 146028432