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145958490 = 2335540587
BaseRepresentation
bin10001011001100…
…10011001011010
3101011122110102000
420230302121122
5244331132430
622252221430
73421424646
oct1054623132
9334573360
10145958490
1175431857
1240a6a876
1324315492
1415555c26
15cc31e60
hex8b3265a

145958490 has 32 divisors (see below), whose sum is σ = 389223360. Its totient is φ = 38922192.

The previous prime is 145958471. The next prime is 145958531. The reversal of 145958490 is 94859541.

145958490 is a `hidden beast` number, since 14 + 59 + 584 + 9 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 270024 + ... + 270563.

It is an arithmetic number, because the mean of its divisors is an integer number (12163230).

Almost surely, 2145958490 is an apocalyptic number.

145958490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145958490 is an abundant number, since it is smaller than the sum of its proper divisors (243264870).

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

145958490 is a wasteful number, since it uses less digits than its factorization.

145958490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540603 (or 540597 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 145958490 is about 12081.3281554637. The cubic root of 145958490 is about 526.5138347514.

The spelling of 145958490 in words is "one hundred forty-five million, nine hundred fifty-eight thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 540587 1081174 1621761 2702935 3243522 4865283 5405870 8108805 9730566 14595849 16217610 24326415 29191698 48652830 72979245 145958490