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145513674 = 2323741732
BaseRepresentation
bin10001010110001…
…01110011001010
3101010210212020100
420223011303022
5244222414144
622234510230
73414563055
oct1053056312
9333725210
10145513674
1175158639
1240895376
13241bab87
141547ba9c
15cb95269
hex8ac5cca

145513674 has 72 divisors (see below), whose sum is σ = 336304332. Its totient is φ = 45411840.

The previous prime is 145513661. The next prime is 145513681. The reversal of 145513674 is 476315541.

145513674 is a `hidden beast` number, since 1 + 4 + 551 + 36 + 74 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 74701449 + 70812225 = 8643^2 + 8415^2 .

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 35 ways as a sum of consecutive naturals, for example, 1993302 + ... + 1993374.

Almost surely, 2145513674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145513674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168152166).

145513674 is an abundant number, since it is smaller than the sum of its proper divisors (190790658).

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

145513674 is a wasteful number, since it uses less digits than its factorization.

145513674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 156 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 145513674 is about 12062.9048740343. The cubic root of 145513674 is about 525.9784311685.

It can be divided in two parts, 14551 and 3674, that added together give a square (18225 = 1352).

The spelling of 145513674 in words is "one hundred forty-five million, five hundred thirteen thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 18 37 41 73 74 82 111 123 146 219 222 246 333 369 438 657 666 738 1314 1517 2701 2993 3034 4551 5329 5402 5986 8103 8979 9102 10658 13653 15987 16206 17958 24309 26937 27306 31974 47961 48618 53874 95922 110741 197173 218489 221482 332223 394346 436978 591519 655467 664446 996669 1183038 1310934 1774557 1966401 1993338 3549114 3932802 8084093 16168186 24252279 48504558 72756837 145513674