Search a number
-
+
145495710 = 23353117383
BaseRepresentation
bin10001010110000…
…01011010011110
3101010202221121000
420223001122132
5244221330320
622234251130
73414456513
oct1053013236
9333687530
10145495710
1175146098
1240886aa6
13241b2949
141547530a
15cb8ec90
hex8ac169e

145495710 has 64 divisors (see below), whose sum is σ = 400527360. Its totient is φ = 37545120.

The previous prime is 145495699. The next prime is 145495739. The reversal of 145495710 is 17594541.

145495710 is a `hidden beast` number, since 1 + 45 + 49 + 571 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 322 + ... + 17061.

It is an arithmetic number, because the mean of its divisors is an integer number (6258240).

Almost surely, 2145495710 is an apocalyptic number.

145495710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145495710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200263680).

145495710 is an abundant number, since it is smaller than the sum of its proper divisors (255031650).

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

145495710 is a wasteful number, since it uses less digits than its factorization.

145495710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17430 (or 17424 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 145495710 is about 12062.1602542828. The cubic root of 145495710 is about 525.9567858593.

The spelling of 145495710 in words is "one hundred forty-five million, four hundred ninety-five thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 8370 17383 34766 52149 86915 104298 156447 173830 260745 312894 469341 521490 538873 782235 938682 1077746 1564470 1616619 2346705 2694365 3233238 4693410 4849857 5388730 8083095 9699714 14549571 16166190 24249285 29099142 48498570 72747855 145495710