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260100420 = 223529831801
BaseRepresentation
bin11111000000011…
…01000101000100
3200010102110200220
433200031011010
51013041203140
641450504340
76305550156
oct1740150504
9603373626
10260100420
11123902328
12731350b0
1341b6ab98
1426788ad6
1517c7bbd0
hexf80d144

260100420 has 96 divisors (see below), whose sum is σ = 762894720. Its totient is φ = 66124800.

The previous prime is 260100419. The next prime is 260100427. The reversal of 260100420 is 24001062.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 260100420.

It is not an unprimeable number, because it can be changed into a prime (260100427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143520 + ... + 145320.

It is an arithmetic number, because the mean of its divisors is an integer number (7946820).

Almost surely, 2260100420 is an apocalyptic number.

260100420 is a gapful number since it is divisible by the number (20) 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 260100420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381447360).

260100420 is an abundant number, since it is smaller than the sum of its proper divisors (502794300).

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

260100420 is a wasteful number, since it uses less digits than its factorization.

260100420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 260100420 is about 16127.6290879968. The cubic root of 260100420 is about 638.3325899608.

Adding to 260100420 its reverse (24001062), we get a palindrome (284101482).

The spelling of 260100420 in words is "two hundred sixty million, one hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 83 87 116 145 166 174 249 290 332 348 415 435 498 580 830 870 996 1245 1660 1740 1801 2407 2490 3602 4814 4980 5403 7204 7221 9005 9628 10806 12035 14442 18010 21612 24070 27015 28884 36020 36105 48140 52229 54030 72210 104458 108060 144420 149483 156687 208916 261145 298966 313374 448449 522290 597932 626748 747415 783435 896898 1044580 1494830 1566870 1793796 2242245 2989660 3133740 4335007 4484490 8670014 8968980 13005021 17340028 21675035 26010042 43350070 52020084 65025105 86700140 130050210 260100420