Search a number
-
+
10942560300 = 2235279753719
BaseRepresentation
bin10100011000011101…
…00011100000101100
31001020121100122210010
422030032203200230
5134402243412200
65005453013220
7535111141110
oct121416434054
931217318703
1010942560300
114705876571
122154784210
131055065b69
1475b3db740
154409e5150
hex28c3a382c

10942560300 has 144 divisors (see below), whose sum is σ = 36557104640. Its totient is φ = 2475325440.

The previous prime is 10942560133. The next prime is 10942560329. The reversal of 10942560300 is 306524901.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176841 + ... + 230559.

Almost surely, 210942560300 is an apocalyptic number.

10942560300 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 10942560300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18278552320).

10942560300 is an abundant number, since it is smaller than the sum of its proper divisors (25614544340).

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

10942560300 is a wasteful number, since it uses less digits than its factorization.

10942560300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53840 (or 53833 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 10942560300 in words is "ten billion, nine hundred forty-two million, five hundred sixty thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 97 100 105 140 150 175 194 210 291 300 350 388 420 485 525 582 679 700 970 1050 1164 1358 1455 1940 2037 2100 2425 2716 2910 3395 4074 4850 5820 6790 7275 8148 9700 10185 13580 14550 16975 20370 29100 33950 40740 50925 53719 67900 101850 107438 161157 203700 214876 268595 322314 376033 537190 644628 752066 805785 1074380 1128099 1342975 1504132 1611570 1880165 2256198 2685950 3223140 3760330 4028925 4512396 5210743 5371900 5640495 7520660 8057850 9400825 10421486 11280990 15632229 16115700 18801650 20842972 22561980 26053715 28202475 31264458 36475201 37603300 52107430 56404950 62528916 72950402 78161145 104214860 109425603 112809900 130268575 145900804 156322290 182376005 218851206 260537150 312644580 364752010 390805725 437702412 521074300 547128015 729504020 781611450 911880025 1094256030 1563222900 1823760050 2188512060 2735640075 3647520100 5471280150 10942560300