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101463856 = 241323127167
BaseRepresentation
bin1100000110000…
…11011100110000
321001220220020121
412003003130300
5201433320411
614022420024
72341266664
oct603033460
9231826217
10101463856
115230132a
1229b91614
1318036bb0
14d6928a4
158d93571
hex60c3730

101463856 has 80 divisors (see below), whose sum is σ = 223985664. Its totient is φ = 44174592.

The previous prime is 101463851. The next prime is 101463863. The reversal of 101463856 is 658364101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101463851) 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 15 ways as a sum of consecutive naturals, for example, 607485 + ... + 607651.

Almost surely, 2101463856 is an apocalyptic number.

101463856 is a gapful number since it is divisible by the number (16) 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 101463856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111992832).

101463856 is an abundant number, since it is smaller than the sum of its proper divisors (122521808).

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

101463856 is a wasteful number, since it uses less digits than its factorization.

101463856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 101463856 is about 10072.9268834833. The cubic root of 101463856 is about 466.4127934337.

The spelling of 101463856 in words is "one hundred one million, four hundred sixty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 127 167 184 208 254 299 334 368 508 598 668 1016 1196 1336 1651 2032 2171 2392 2672 2921 3302 3841 4342 4784 5842 6604 7682 8684 11684 13208 15364 17368 21209 23368 26416 30728 34736 37973 42418 46736 49933 61456 75946 84836 99866 151892 169672 199732 275717 303784 339344 399464 487807 551434 607568 798928 975614 1102868 1951228 2205736 3902456 4411472 6341491 7804912 12682982 25365964 50731928 101463856