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145093000 = 23531311161
BaseRepresentation
bin10001010010111…
…11000110001000
3101010000111011211
420221133012020
5244120434000
622221502504
73411161443
oct1051370610
9333014154
10145093000
11749a0578
1240711a34
13240a1560
14153ac65a
15cb107ba
hex8a5f188

145093000 has 64 divisors (see below), whose sum is σ = 365667120. Its totient is φ = 53568000.

The previous prime is 145092979. The next prime is 145093009. The reversal of 145093000 is 390541.

It can be written as a sum of positive squares in 8 ways, for example, as 15634116 + 129458884 = 3954^2 + 11378^2 .

It is not an unprimeable number, because it can be changed into a prime (145093009) 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, 7420 + ... + 18580.

Almost surely, 2145093000 is an apocalyptic number.

145093000 is a gapful number since it is divisible by the number (10) 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 145093000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182833560).

145093000 is an abundant number, since it is smaller than the sum of its proper divisors (220574120).

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

145093000 is a wasteful number, since it uses less digits than its factorization.

145093000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11195 (or 11181 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 145093000 is about 12045.4555746140. The cubic root of 145093000 is about 525.4710813306.

The spelling of 145093000 in words is "one hundred forty-five million, ninety-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 11161 13000 22322 44644 55805 89288 111610 145093 223220 279025 290186 446440 558050 580372 725465 1116100 1160744 1395125 1450930 2232200 2790250 2901860 3627325 5580500 5803720 7254650 11161000 14509300 18136625 29018600 36273250 72546500 145093000