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145601505 = 3257835569
BaseRepresentation
bin10001010110110…
…11001111100001
3101010222022201100
420223123033201
5244233222010
622240425013
73415410120
oct1053331741
9333868640
10145601505
1175208625
1240918169
132421bb4a
14154a1ab7
15cbb12c0
hex8adb3e1

145601505 has 48 divisors (see below), whose sum is σ = 291957120. Its totient is φ = 65746944.

The previous prime is 145601501. The next prime is 145601581. The reversal of 145601505 is 505106541.

It is a happy number.

145601505 is a `hidden beast` number, since 1 + 4 + 5 + 601 + 50 + 5 = 666.

It is not a de Polignac number, because 145601505 - 22 = 145601501 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145601501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23361 + ... + 28929.

It is an arithmetic number, because the mean of its divisors is an integer number (6082440).

Almost surely, 2145601505 is an apocalyptic number.

145601505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145601505 is an abundant number, since it is smaller than the sum of its proper divisors (146355615).

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

145601505 is a wasteful number, since it uses less digits than its factorization.

145601505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5670 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 145601505 is about 12066.5448658678. The cubic root of 145601505 is about 526.0842354746.

The spelling of 145601505 in words is "one hundred forty-five million, six hundred one thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 83 105 249 315 415 581 747 1245 1743 2905 3735 5229 5569 8715 16707 26145 27845 38983 50121 83535 116949 194915 250605 350847 462227 584745 1386681 1754235 2311135 3235589 4160043 6933405 9706767 16177945 20800215 29120301 48533835 145601505