Search a number
-
+
10744037060 = 22517374791783
BaseRepresentation
bin10100000000110010…
…01111111011000100
31000201202210122002112
422000121033323010
5134000433141220
64534042000152
7530150544131
oct120031177304
930652718075
1010744037060
114613802079
1220ba1a6058
131022ba7aa3
1473ccc1588
1542d37d5c5
hex28064fec4

10744037060 has 96 divisors (see below), whose sum is σ = 24600360960. Its totient is φ = 3925075968.

The previous prime is 10744037047. The next prime is 10744037063. The reversal of 10744037060 is 6073044701.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10744037063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6024929 + ... + 6026711.

It is an arithmetic number, because the mean of its divisors is an integer number (256253760).

Almost surely, 210744037060 is an apocalyptic number.

10744037060 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 10744037060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12300180480).

10744037060 is an abundant number, since it is smaller than the sum of its proper divisors (13856323900).

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

10744037060 is a wasteful number, since it uses less digits than its factorization.

10744037060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The spelling of 10744037060 in words is "ten billion, seven hundred forty-four million, thirty-seven thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 479 629 740 958 1258 1783 1916 2395 2516 3145 3566 4790 6290 7132 8143 8915 9580 12580 16286 17723 17830 30311 32572 35446 35660 40715 60622 65971 70892 81430 88615 121244 131942 151555 162860 177230 263884 301291 303110 329855 354460 602582 606220 659710 854057 1121507 1205164 1319420 1506455 1708114 2243014 3012910 3416228 4270285 4486028 5607535 6025820 8540570 11215070 14518969 17081140 22430140 29037938 31600109 58075876 63200218 72594845 126400436 145189690 158000545 290379380 316001090 537201853 632002180 1074403706 2148807412 2686009265 5372018530 10744037060