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10414030260 = 22353121791009
BaseRepresentation
bin10011011001011100…
…10111110110110100
3222212202211112212110
421230232113312310
5132311442432020
64441212451020
7516032540154
oct115456276664
928782745773
1010414030260
1144644a3087
122027779a70
13c9c701baa
1470b13a764
1540e3e38e0
hex26cb97db4

10414030260 has 144 divisors (see below), whose sum is σ = 30328603200. Its totient is φ = 2669829120.

The previous prime is 10414030243. The next prime is 10414030301. The reversal of 10414030260 is 6203041401.

It is a congruent number.

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, 10320636 + ... + 10321644.

It is an arithmetic number, because the mean of its divisors is an integer number (210615300).

Almost surely, 210414030260 is an apocalyptic number.

10414030260 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 10414030260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15164301600).

10414030260 is an abundant number, since it is smaller than the sum of its proper divisors (19914572940).

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

10414030260 is a wasteful number, since it uses less digits than its factorization.

10414030260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10414030260 its reverse (6203041401), we get a palindrome (16617071661).

The spelling of 10414030260 in words is "ten billion, four hundred fourteen million, thirty thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 179 186 310 358 372 465 537 620 716 895 930 961 1009 1074 1790 1860 1922 2018 2148 2685 2883 3027 3580 3844 4036 4805 5045 5370 5549 5766 6054 9610 10090 10740 11098 11532 12108 14415 15135 16647 19220 20180 22196 27745 28830 30270 31279 33294 55490 57660 60540 62558 66588 83235 93837 110980 125116 156395 166470 172019 180611 187674 312790 332940 344038 361222 375348 469185 516057 541833 625580 688076 722444 860095 903055 938370 969649 1032114 1083666 1720190 1806110 1876740 1939298 2064228 2167332 2580285 2709165 2908947 3440380 3612220 3878596 4848245 5160570 5418330 5598941 5817894 9696490 10321140 10836660 11197882 11635788 14544735 16796823 19392980 22395764 27994705 29089470 33593646 55989410 58178940 67187292 83984115 111978820 167968230 173567171 335936460 347134342 520701513 694268684 867835855 1041403026 1735671710 2082806052 2603507565 3471343420 5207015130 10414030260