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145959380 = 22572345329
BaseRepresentation
bin10001011001100…
…10100111010100
3101011122111121222
420230302213110
5244331200010
622252225512
73421430360
oct1054624724
9334574558
10145959380
1175432496
1240a6b298
13243159c8
14155562a0
15cc32355
hex8b329d4

145959380 has 48 divisors (see below), whose sum is σ = 365541120. Its totient is φ = 47866368.

The previous prime is 145959379. The next prime is 145959383. The reversal of 145959380 is 83959541.

It is a happy number.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145959383) 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 15 ways as a sum of consecutive naturals, for example, 19445 + ... + 25884.

It is an arithmetic number, because the mean of its divisors is an integer number (7615440).

Almost surely, 2145959380 is an apocalyptic number.

145959380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145959380 is an abundant number, since it is smaller than the sum of its proper divisors (219581740).

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

145959380 is a wasteful number, since it uses less digits than its factorization.

145959380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45368 (or 45366 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 44.

The square root of 145959380 is about 12081.3649891062. The cubic root of 145959380 is about 526.5149049104.

The spelling of 145959380 in words is "one hundred forty-five million, nine hundred fifty-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 45329 90658 181316 226645 317303 453290 634606 906580 1042567 1269212 1586515 2085134 3173030 4170268 5212835 6346060 7297969 10425670 14595938 20851340 29191876 36489845 72979690 145959380