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145588956 = 223118110273
BaseRepresentation
bin10001010110110…
…00001011011100
3101010221200111120
420223120023130
5244232321311
622240250540
73415325412
oct1053301334
9333850446
10145588956
11751aa157
1240910a50
1324216216
141549b2b2
15cbac706
hex8ad82dc

145588956 has 24 divisors (see below), whose sum is σ = 340028304. Its totient is φ = 48483840.

The previous prime is 145588951. The next prime is 145588981. The reversal of 145588956 is 659885541.

145588956 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×1455889562 = 42392288218339872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145588899 and 145588908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145588951) 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 7 ways as a sum of consecutive naturals, for example, 9036 + ... + 19308.

It is an arithmetic number, because the mean of its divisors is an integer number (14167846).

Almost surely, 2145588956 is an apocalyptic number.

It is an amenable number.

145588956 is an abundant number, since it is smaller than the sum of its proper divisors (194439348).

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

145588956 is a wasteful number, since it uses less digits than its factorization.

145588956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11461 (or 11459 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 51.

The square root of 145588956 is about 12066.0248632265. The cubic root of 145588956 is about 526.0691211145.

The spelling of 145588956 in words is "one hundred forty-five million, five hundred eighty-eight thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 1181 2362 3543 4724 7086 10273 14172 20546 30819 41092 61638 123276 12132413 24264826 36397239 48529652 72794478 145588956