Search a number
-
+
45135920 = 2454331303
BaseRepresentation
bin1010110000101…
…1100000110000
310010221010211202
42230023200300
543023322140
64251230332
71055435414
oct254134060
9103833752
1045135920
1123529315
12131483a8
13947445b
145dccd44
153e68915
hex2b0b830

45135920 has 40 divisors (see below), whose sum is σ = 105264096. Its totient is φ = 17998848.

The previous prime is 45135911. The next prime is 45135931. The reversal of 45135920 is 2953154.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33989 + ... + 35291.

Almost surely, 245135920 is an apocalyptic number.

45135920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45135920 is an abundant number, since it is smaller than the sum of its proper divisors (60128176).

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

45135920 is a wasteful number, since it uses less digits than its factorization.

45135920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 45135920 is about 6718.3271727417. The cubic root of 45135920 is about 356.0470837864.

The spelling of 45135920 in words is "forty-five million, one hundred thirty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 433 866 1303 1732 2165 2606 3464 4330 5212 6515 6928 8660 10424 13030 17320 20848 26060 34640 52120 104240 564199 1128398 2256796 2820995 4513592 5641990 9027184 11283980 22567960 45135920