Search a number
-
+
916943680 = 26541471487
BaseRepresentation
bin110110101001110…
…111001101000000
32100220101120021001
4312221313031000
53334214144210
6230553141344
731502615122
oct6651671500
92326346231
10916943680
114306553a4
122170ba854
13117c79933
1489acb212
155577703a
hex36a77340

916943680 has 112 divisors (see below), whose sum is σ = 2285853696. Its totient is φ = 349982720.

The previous prime is 916943659. The next prime is 916943707. The reversal of 916943680 is 86349619.

916943680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 916943680.

It is a congruent number.

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, 615897 + ... + 617383.

It is an arithmetic number, because the mean of its divisors is an integer number (20409408).

Almost surely, 2916943680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142926848).

916943680 is an abundant number, since it is smaller than the sum of its proper divisors (1368910016).

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

916943680 is a wasteful number, since it uses less digits than its factorization.

916943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The square root of 916943680 is about 30281.0779200477. The cubic root of 916943680 is about 971.5106231566.

The spelling of 916943680 in words is "nine hundred sixteen million, nine hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 47 64 80 82 94 160 164 188 205 235 320 328 376 410 470 656 752 820 940 1312 1487 1504 1640 1880 1927 2624 2974 3008 3280 3760 3854 5948 6560 7435 7520 7708 9635 11896 13120 14870 15040 15416 19270 23792 29740 30832 38540 47584 59480 60967 61664 69889 77080 95168 118960 121934 123328 139778 154160 237920 243868 279556 304835 308320 349445 475840 487736 559112 609670 616640 698890 975472 1118224 1219340 1397780 1950944 2236448 2438680 2795560 2865449 3901888 4472896 4877360 5591120 5730898 9754720 11182240 11461796 14327245 19509440 22364480 22923592 28654490 45847184 57308980 91694368 114617960 183388736 229235920 458471840 916943680