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914449680 = 243257271747
BaseRepresentation
bin110110100000010…
…110010100010000
32100201200212010200
4312200112110100
53333044342210
6230423455200
731442460024
oct6640262420
92321625120
10914449680
1142a201641
122162b7500
131175b56b1
148963c384
15554330c0
hex36816510

914449680 has 120 divisors (see below), whose sum is σ = 3077011392. Its totient is φ = 243378432.

The previous prime is 914449661. The next prime is 914449681. The reversal of 914449680 is 86944419.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (914449681) 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 23 ways as a sum of consecutive naturals, for example, 522567 + ... + 524313.

Almost surely, 2914449680 is an apocalyptic number.

914449680 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 914449680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538505696).

914449680 is an abundant number, since it is smaller than the sum of its proper divisors (2162561712).

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

914449680 is a wasteful number, since it uses less digits than its factorization.

914449680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 914449680 is about 30239.8690473355. The cubic root of 914449680 is about 970.6290177386.

It can be divided in two parts, 9144496 and 80, that added together give a square (9144576 = 30242).

The spelling of 914449680 in words is "nine hundred fourteen million, four hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 727 1454 1747 2181 2908 3494 3635 4362 5241 5816 6543 6988 7270 8724 8735 10482 10905 11632 13086 13976 14540 15723 17448 17470 20964 21810 26172 26205 27952 29080 31446 32715 34896 34940 41928 43620 52344 52410 58160 62892 65430 69880 78615 83856 87240 104688 104820 125784 130860 139760 157230 174480 209640 251568 261720 314460 419280 523440 628920 1257840 1270069 2540138 3810207 5080276 6350345 7620414 10160552 11430621 12700690 15240828 19051035 20321104 22861242 25401380 30481656 38102070 45722484 50802760 57153105 60963312 76204140 91444968 101605520 114306210 152408280 182889936 228612420 304816560 457224840 914449680