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45000240 = 2435971933
BaseRepresentation
bin1010101110101…
…0011000110000
310010200020201120
42223222120300
543010001430
64244302240
71054332015
oct253523060
9103606646
1045000240
112344638a
12130a1980
13942777c
145d9570c
153e3d610
hex2aea630

45000240 has 80 divisors (see below), whose sum is σ = 141011808. Its totient is φ = 11870208.

The previous prime is 45000239. The next prime is 45000271. The reversal of 45000240 is 4200054.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22314 + ... + 24246.

Almost surely, 245000240 is an apocalyptic number.

45000240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70505904).

45000240 is an abundant number, since it is smaller than the sum of its proper divisors (96011568).

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

45000240 is a wasteful number, since it uses less digits than its factorization.

45000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 45000240 is about 6708.2218210193. The cubic root of 45000240 is about 355.6899627845.

Adding to 45000240 its reverse (4200054), we get a palindrome (49200294).

The spelling of 45000240 in words is "forty-five million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 582 776 970 1164 1455 1552 1933 1940 2328 2910 3866 3880 4656 5799 5820 7732 7760 9665 11598 11640 15464 19330 23196 23280 28995 30928 38660 46392 57990 77320 92784 115980 154640 187501 231960 375002 463920 562503 750004 937505 1125006 1500008 1875010 2250012 2812515 3000016 3750020 4500024 5625030 7500040 9000048 11250060 15000080 22500120 45000240