Search a number
-
+
45160160 = 2551716603
BaseRepresentation
bin1010110001000…
…1011011100000
310010222101002112
42230101123200
543030111120
64251534452
71055566163
oct254213340
9103871075
1045160160
1123545551
121315a428
1394824b6
145dd7ada
153e70bc5
hex2b116e0

45160160 has 48 divisors (see below), whose sum is σ = 112973616. Its totient is φ = 17000448.

The previous prime is 45160153. The next prime is 45160183. The reversal of 45160160 is 6106154.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5582 + ... + 11021.

It is an arithmetic number, because the mean of its divisors is an integer number (2353617).

Almost surely, 245160160 is an apocalyptic number.

45160160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45160160 is an abundant number, since it is smaller than the sum of its proper divisors (67813456).

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

45160160 is a wasteful number, since it uses less digits than its factorization.

45160160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16635 (or 16627 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 45160160 is about 6720.1309511050. The cubic root of 45160160 is about 356.1108100955.

The spelling of 45160160 in words is "forty-five million, one hundred sixty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 16603 33206 66412 83015 132824 166030 265648 282251 332060 531296 564502 664120 1129004 1328240 1411255 2258008 2656480 2822510 4516016 5645020 9032032 11290040 22580080 45160160