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10115397760 = 275132395087
BaseRepresentation
bin10010110101110110…
…01011100010000000
3222002221220110002111
421122323023202000
5131204020212020
64351424025104
7505445314366
oct113273134200
928087813074
1010115397760
114320973066
121b63762194
13c52892680
146bd601636
153e30a4d5a
hex25aecb880

10115397760 has 128 divisors (see below), whose sum is σ = 26156390400. Its totient is φ = 3718557696.

The previous prime is 10115397757. The next prime is 10115397863. The reversal of 10115397760 is 6779351101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 1985937 + ... + 1991023.

It is an arithmetic number, because the mean of its divisors is an integer number (204346800).

Almost surely, 210115397760 is an apocalyptic number.

10115397760 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 10115397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13078195200).

10115397760 is an abundant number, since it is smaller than the sum of its proper divisors (16040992640).

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

10115397760 is a wasteful number, since it uses less digits than its factorization.

10115397760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5358 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 40.

The spelling of 10115397760 in words is "ten billion, one hundred fifteen million, three hundred ninety-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 239 260 320 416 478 520 640 832 956 1040 1195 1664 1912 2080 2390 3107 3824 4160 4780 5087 6214 7648 8320 9560 10174 12428 15296 15535 19120 20348 24856 25435 30592 31070 38240 40696 49712 50870 62140 66131 76480 81392 99424 101740 124280 132262 152960 162784 198848 203480 248560 264524 325568 330655 397696 406960 497120 529048 651136 661310 813920 994240 1058096 1215793 1322620 1627840 1988480 2116192 2431586 2645240 3255680 4232384 4863172 5290480 6078965 8464768 9726344 10580960 12157930 15805309 19452688 21161920 24315860 31610618 38905376 42323840 48631720 63221236 77810752 79026545 97263440 126442472 155621504 158053090 194526880 252884944 316106180 389053760 505769888 632212360 778107520 1011539776 1264424720 2023079552 2528849440 5057698880 10115397760