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916973640 = 2332511231559
BaseRepresentation
bin110110101001111…
…110100001001000
32100220110002100200
4312221332201020
53334221124030
6230553532200
731503101352
oct6651764110
92326402320
10916973640
11430675960
12217114060
13117c8a46b
1489ad80d2
1555780d60
hex36a7e848

916973640 has 96 divisors (see below), whose sum is σ = 3251102400. Its totient is φ = 222295680.

The previous prime is 916973633. The next prime is 916973641. The reversal of 916973640 is 46379619.

916973640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (916973641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111820 + ... + 119739.

It is an arithmetic number, because the mean of its divisors is an integer number (33865650).

Almost surely, 2916973640 is an apocalyptic number.

916973640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

916973640 is an abundant number, since it is smaller than the sum of its proper divisors (2334128760).

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

916973640 is a wasteful number, since it uses less digits than its factorization.

916973640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231587 (or 231580 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 916973640 is about 30281.5726143805. The cubic root of 916973640 is about 971.5212040105.

The spelling of 916973640 in words is "nine hundred sixteen million, nine hundred seventy-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 231559 463118 694677 926236 1157795 1389354 1852472 2084031 2315590 2547149 2778708 3473385 4168062 4631180 5094298 5557416 6946770 7641447 8336124 9262360 10188596 10420155 12735745 13893540 15282894 16672248 20377192 20840310 22924341 25471490 27787080 30565788 38207235 41680620 45848682 50942980 61131576 76414470 83361240 91697364 101885960 114621705 152828940 183394728 229243410 305657880 458486820 916973640