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45015320 = 2357317193
BaseRepresentation
bin1010101110111…
…0000100011000
310010201000102002
42223232010120
543010442240
64244500132
71054424000
oct253560430
9103630362
1045015320
1123456749
12130aa648
1394315ac
145d9b000
153e42d15
hex2aee118

45015320 has 128 divisors (see below), whose sum is σ = 125712000. Its totient is φ = 14450688.

The previous prime is 45015319. The next prime is 45015329. The reversal of 45015320 is 2351054.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 45015292 and 45015301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45015329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233144 + ... + 233336.

It is an arithmetic number, because the mean of its divisors is an integer number (982125).

Almost surely, 245015320 is an apocalyptic number.

45015320 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 45015320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62856000).

45015320 is an abundant number, since it is smaller than the sum of its proper divisors (80696680).

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

45015320 is a wasteful number, since it uses less digits than its factorization.

45015320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 45015320 is about 6709.3457207093. The cubic root of 45015320 is about 355.7296900215.

Adding to 45015320 its reverse (2351054), we get a palindrome (47366374).

The spelling of 45015320 in words is "forty-five million, fifteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 193 196 238 245 280 340 343 386 392 476 490 595 680 686 772 833 952 965 980 1190 1351 1372 1544 1666 1715 1930 1960 2380 2702 2744 3281 3332 3430 3860 4165 4760 5404 5831 6562 6664 6755 6860 7720 8330 9457 10808 11662 13124 13510 13720 16405 16660 18914 22967 23324 26248 27020 29155 32810 33320 37828 45934 46648 47285 54040 58310 65620 66199 75656 91868 94570 114835 116620 131240 132398 160769 183736 189140 229670 233240 264796 321538 330995 378280 459340 529592 643076 661990 803845 918680 1125383 1286152 1323980 1607690 2250766 2647960 3215380 4501532 5626915 6430760 9003064 11253830 22507660 45015320