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916497540 = 2232571742787
BaseRepresentation
bin110110101000001…
…010010010000100
32100212112220021100
4312220022102010
53334110410130
6230535420100
731466046330
oct6650122204
92325486240
10916497540
11430380192
12216b24630
13117b5184a
1489a127c0
15556d9c60
hex36a0a484

916497540 has 144 divisors (see below), whose sum is σ = 3364163712. Its totient is φ = 197157888.

The previous prime is 916497499. The next prime is 916497541. The reversal of 916497540 is 45794619.

916497540 is a `hidden beast` number, since 9 + 16 + 4 + 97 + 540 = 666.

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 (916497541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27 + ... + 42813.

It is an arithmetic number, because the mean of its divisors is an integer number (23362248).

Almost surely, 2916497540 is an apocalyptic number.

916497540 is a gapful number since it is divisible by the number (90) 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 916497540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682081856).

916497540 is an abundant number, since it is smaller than the sum of its proper divisors (2447666172).

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

916497540 is a wasteful number, since it uses less digits than its factorization.

916497540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42826 (or 42821 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 916497540 is about 30273.7103771573. The cubic root of 916497540 is about 971.3530343926.

The spelling of 916497540 in words is "nine hundred sixteen million, four hundred ninety-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5355 7140 10710 21420 42787 85574 128361 171148 213935 256722 299509 385083 427870 513444 599018 641805 727379 770166 855740 898527 1198036 1283610 1454758 1497545 1540332 1797054 1925415 2182137 2567220 2695581 2909516 2995090 3594108 3636895 3850830 4364274 4492635 5091653 5391162 5990180 6546411 7273790 7701660 8728548 8985270 10183306 10782324 10910685 13092822 13477905 14547580 15274959 17970540 20366612 21821370 25458265 26185644 26955810 30549918 32732055 43642740 45824877 50916530 53911620 61099836 65464110 76374795 91649754 101833060 130928220 152749590 183299508 229124385 305499180 458248770 916497540