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10234413560 = 2357472632957
BaseRepresentation
bin10011000100000010…
…01100000111111000
3222102020212002002002
421202001030013320
5131430002213220
64411315000132
7511422036260
oct114201140770
928366762062
1010234413560
114382072428
121b97599048
13c71433617
146d13427a0
153ed763c75
hex26204c1f8

10234413560 has 128 divisors (see below), whose sum is σ = 26988318720. Its totient is φ = 3420068352.

The previous prime is 10234413533. The next prime is 10234413571. The reversal of 10234413560 is 6531443201.

It is a super-2 number, since 2×102344135602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3459602 + ... + 3462558.

It is an arithmetic number, because the mean of its divisors is an integer number (210846240).

Almost surely, 210234413560 is an apocalyptic number.

10234413560 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 10234413560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13494159360).

10234413560 is an abundant number, since it is smaller than the sum of its proper divisors (16753905160).

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

10234413560 is a wasteful number, since it uses less digits than its factorization.

10234413560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 10234413560 its reverse (6531443201), we get a palindrome (16765856761).

The spelling of 10234413560 in words is "ten billion, two hundred thirty-four million, four hundred thirteen thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 263 280 329 376 470 526 658 940 1052 1315 1316 1645 1841 1880 2104 2630 2632 2957 3290 3682 5260 5914 6580 7364 9205 10520 11828 12361 13160 14728 14785 18410 20699 23656 24722 29570 36820 41398 49444 59140 61805 73640 82796 86527 98888 103495 118280 123610 138979 165592 173054 206990 247220 277958 346108 413980 432635 494440 555916 692216 694895 777691 827960 865270 972853 1111832 1389790 1555382 1730540 1945706 2779580 3110764 3461080 3888455 3891412 4864265 5443837 5559160 6221528 7776910 7782824 9728530 10887674 15553820 19457060 21775348 27219185 31107640 36551477 38914120 43550696 54438370 73102954 108876740 146205908 182757385 217753480 255860339 292411816 365514770 511720678 731029540 1023441356 1279301695 1462059080 2046882712 2558603390 5117206780 10234413560