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145835540 = 225113173373
BaseRepresentation
bin10001011000101…
…00011000010100
3101011102012202022
420230110120110
5244313214130
622245432312
73420403334
oct1054243024
9334365668
10145835540
1175358444
1240a0b698
13242a1526
14155230c4
15cc0a7e5
hex8b14614

145835540 has 48 divisors (see below), whose sum is σ = 311583888. Its totient is φ = 57329664.

The previous prime is 145835513. The next prime is 145835561. The reversal of 145835540 is 45538541.

145835540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2650384 + 143185156 = 1628^2 + 11966^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 145835540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390794 + ... + 391166.

It is an arithmetic number, because the mean of its divisors is an integer number (6491331).

Almost surely, 2145835540 is an apocalyptic number.

145835540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145835540 is an abundant number, since it is smaller than the sum of its proper divisors (165748348).

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

145835540 is a wasteful number, since it uses less digits than its factorization.

145835540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The square root of 145835540 is about 12076.2386528256. The cubic root of 145835540 is about 526.3659546675.

The spelling of 145835540 in words is "one hundred forty-five million, eight hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 113 173 226 346 373 452 565 692 746 865 1130 1492 1730 1865 2260 3460 3730 7460 19549 39098 42149 64529 78196 84298 97745 129058 168596 195490 210745 258116 322645 390980 421490 645290 842980 1290580 7291777 14583554 29167108 36458885 72917770 145835540