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10410023540 = 22572101105173
BaseRepresentation
bin10011011000111110…
…00101101001110100
3222212111021222200102
421230133011221310
5132304431223130
64440550533232
7515653511600
oct115437055164
928774258612
1010410023540
114462206844
122026367218
13c9b92b257
1470a7b6500
1540dda1645
hex26c7c5a74

10410023540 has 72 divisors (see below), whose sum is σ = 25682228712. Its totient is φ = 3533779200.

The previous prime is 10410023509. The next prime is 10410023579. The reversal of 10410023540 is 4532001401.

It can be written as a sum of positive squares in 4 ways, for example, as 2106075664 + 8303947876 = 45892^2 + 91126^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46394 + ... + 151566.

It is an arithmetic number, because the mean of its divisors is an integer number (356697621).

Almost surely, 210410023540 is an apocalyptic number.

10410023540 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 10410023540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12841114356).

10410023540 is an abundant number, since it is smaller than the sum of its proper divisors (15272205172).

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

10410023540 is a wasteful number, since it uses less digits than its factorization.

10410023540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105297 (or 105288 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10410023540 its reverse (4532001401), we get a palindrome (14942024941).

The spelling of 10410023540 in words is "ten billion, four hundred ten million, twenty-three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 101 140 196 202 245 404 490 505 707 980 1010 1414 2020 2828 3535 4949 7070 9898 14140 19796 24745 49490 98980 105173 210346 420692 525865 736211 1051730 1472422 2103460 2944844 3681055 5153477 7362110 10306954 10622473 14724220 20613908 21244946 25767385 42489892 51534770 53112365 74357311 103069540 106224730 148714622 212449460 297429244 371786555 520501177 743573110 1041002354 1487146220 2082004708 2602505885 5205011770 10410023540