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45140640 = 2535157599
BaseRepresentation
bin1010110000110…
…0101010100000
310010221101022120
42230030222200
543024000030
64251304240
71055455236
oct254145240
9103841276
1045140640
1123531916
121314b080
13947664c
145dd0956
153e6a010
hex2b0caa0

45140640 has 96 divisors (see below), whose sum is σ = 143337600. Its totient is φ = 11940864.

The previous prime is 45140639. The next prime is 45140657. The reversal of 45140640 is 4604154.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 45140640.

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, 75061 + ... + 75659.

It is an arithmetic number, because the mean of its divisors is an integer number (1493100).

Almost surely, 245140640 is an apocalyptic number.

45140640 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 45140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71668800).

45140640 is an abundant number, since it is smaller than the sum of its proper divisors (98196960).

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

45140640 is a wasteful number, since it uses less digits than its factorization.

45140640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 45140640 is about 6718.6784414794. The cubic root of 45140640 is about 356.0594943282.

Adding to 45140640 its reverse (4604154), we get a palindrome (49744794).

The spelling of 45140640 in words is "forty-five million, one hundred forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 157 160 240 314 471 480 599 628 785 942 1198 1256 1570 1797 1884 2355 2396 2512 2995 3140 3594 3768 4710 4792 5024 5990 6280 7188 7536 8985 9420 9584 11980 12560 14376 15072 17970 18840 19168 23960 25120 28752 35940 37680 47920 57504 71880 75360 94043 95840 143760 188086 282129 287520 376172 470215 564258 752344 940430 1128516 1410645 1504688 1880860 2257032 2821290 3009376 3761720 4514064 5642580 7523440 9028128 11285160 15046880 22570320 45140640