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145590336 = 2632252761
BaseRepresentation
bin10001010110110…
…00100001000000
3101010221202101200
420223120201000
5244232342321
622240301200
73415332423
oct1053304100
9333852350
10145590336
11752001a1
1240911800
1324216a38
141549b9ba
15cbacd26
hex8ad8840

145590336 has 42 divisors (see below), whose sum is σ = 417310062. Its totient is φ = 48529920.

The previous prime is 145590287. The next prime is 145590337. The reversal of 145590336 is 633095541.

It can be written as a sum of positive squares in only one way, i.e., 72999936 + 72590400 = 8544^2 + 8520^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145590336.

It is not an unprimeable number, because it can be changed into a prime (145590337) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125805 + ... + 126956.

Almost surely, 2145590336 is an apocalyptic number.

145590336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145590336 is an abundant number, since it is smaller than the sum of its proper divisors (271719726).

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

145590336 is a wasteful number, since it uses less digits than its factorization.

145590336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252779 (or 252766 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 145590336 is about 12066.0820484530. The cubic root of 145590336 is about 526.0707832669.

The spelling of 145590336 in words is "one hundred forty-five million, five hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 252761 505522 758283 1011044 1516566 2022088 2274849 3033132 4044176 4549698 6066264 8088352 9099396 12132528 16176704 18198792 24265056 36397584 48530112 72795168 145590336