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145496610 = 232571571471
BaseRepresentation
bin10001010110000…
…01101000100010
3101010202222211100
420223001220202
5244221342420
622234255230
73414462240
oct1053015042
9333688740
10145496610
1175146836
1240887516
13241b318c
1415475790
15cb90190
hex8ac1a22

145496610 has 96 divisors (see below), whose sum is σ = 435382272. Its totient is φ = 33022080.

The previous prime is 145496587. The next prime is 145496627. The reversal of 145496610 is 16694541.

145496610 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98175 + ... + 99645.

It is an arithmetic number, because the mean of its divisors is an integer number (4535232).

Almost surely, 2145496610 is an apocalyptic number.

145496610 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 145496610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217691136).

145496610 is an abundant number, since it is smaller than the sum of its proper divisors (289885662).

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

145496610 is a wasteful number, since it uses less digits than its factorization.

145496610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 145496610 is about 12062.1975609754. The cubic root of 145496610 is about 525.9578703360.

The spelling of 145496610 in words is "one hundred forty-five million, four hundred ninety-six thousand, six hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 157 210 314 315 471 630 785 942 1099 1413 1471 1570 2198 2355 2826 2942 3297 4413 4710 5495 6594 7065 7355 8826 9891 10297 10990 13239 14130 14710 16485 19782 20594 22065 26478 30891 32970 44130 49455 51485 61782 66195 92673 98910 102970 132390 154455 185346 230947 308910 461894 463365 692841 926730 1154735 1385682 1616629 2078523 2309470 3233258 3464205 4157046 4849887 6928410 8083145 9699774 10392615 14549661 16166290 20785230 24249435 29099322 48498870 72748305 145496610