Search a number
-
+
10755997840 = 2457223119299
BaseRepresentation
bin10100000010001101…
…11000000010010000
31000202121022022012101
422001012320002100
5134012013412330
64535150210144
7530354321200
oct120106700220
930677268171
1010755997840
11461a531415
1221021b3954
131025504c83
14740716400
1542e4424ca
hex2811b8090

10755997840 has 120 divisors (see below), whose sum is σ = 30355646400. Its totient is φ = 3527403264.

The previous prime is 10755997829. The next prime is 10755997843. The reversal of 10755997840 is 4879955701.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10755997843) 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, 30511 + ... + 149809.

It is an arithmetic number, because the mean of its divisors is an integer number (252963720).

Almost surely, 210755997840 is an apocalyptic number.

10755997840 is a gapful number since it is divisible by the number (10) 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 10755997840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177823200).

10755997840 is an abundant number, since it is smaller than the sum of its proper divisors (19599648560).

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

10755997840 is a wasteful number, since it uses less digits than its factorization.

10755997840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119349 (or 119336 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 55.

The spelling of 10755997840 in words is "ten billion, seven hundred fifty-five million, nine hundred ninety-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 49 56 70 80 92 98 112 115 140 161 184 196 230 245 280 322 368 392 460 490 560 644 784 805 920 980 1127 1288 1610 1840 1960 2254 2576 3220 3920 4508 5635 6440 9016 11270 12880 18032 22540 45080 90160 119299 238598 477196 596495 835093 954392 1192990 1670186 1908784 2385980 2743877 3340372 4175465 4771960 5487754 5845651 6680744 8350930 9543920 10975508 11691302 13361488 13719385 16701860 19207139 21951016 23382604 27438770 29228255 33403720 38414278 43902032 46765208 54877540 58456510 66807440 76828556 93530416 96035695 109755080 116913020 134449973 153657112 192071390 219510160 233826040 268899946 307314224 384142780 467652080 537799892 672249865 768285560 1075599784 1344499730 1536571120 2151199568 2688999460 5377998920 10755997840