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10260689080 = 2358330710067
BaseRepresentation
bin10011000111001010…
…11011000010111000
3222111002022000022111
421203211123002320
5132003214022310
64414054102104
7512161263265
oct114345330270
928432260274
1010260689080
114395989634
121ba434a934
13c76a03275
146d4a2226c
15400c0428a
hex26395b0b8

10260689080 has 64 divisors (see below), whose sum is σ = 23443136640. Its totient is φ = 4041217152.

The previous prime is 10260689063. The next prime is 10260689093. The reversal of 10260689080 is 8098606201.

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

It is a congruent number.

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, 1014207 + ... + 1024273.

It is an arithmetic number, because the mean of its divisors is an integer number (366299010).

Almost surely, 210260689080 is an apocalyptic number.

10260689080 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 10260689080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11721568320).

10260689080 is an abundant number, since it is smaller than the sum of its proper divisors (13182447560).

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

10260689080 is a wasteful number, since it uses less digits than its factorization.

10260689080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10468 (or 10464 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 10260689080 in words is "ten billion, two hundred sixty million, six hundred eighty-nine thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 83 166 307 332 415 614 664 830 1228 1535 1660 2456 3070 3320 6140 10067 12280 20134 25481 40268 50335 50962 80536 100670 101924 127405 201340 203848 254810 402680 509620 835561 1019240 1671122 3090569 3342244 4177805 6181138 6684488 8355610 12362276 15452845 16711220 24724552 30905690 33422440 61811380 123622760 256517227 513034454 1026068908 1282586135 2052137816 2565172270 5130344540 10260689080