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101704856 = 23112293623
BaseRepresentation
bin1100000111111…
…10010010011000
321002101010211112
412003332102120
5202014023411
614031515452
72343322421
oct603762230
9232333745
10101704856
1152456400
122a088b88
13180bc7b6
14d716648
158ddeb8b
hex60fe498

101704856 has 48 divisors (see below), whose sum is σ = 216896400. Its totient is φ = 44623040.

The previous prime is 101704843. The next prime is 101704877. The reversal of 101704856 is 658407101.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 26261 + ... + 29883.

It is an arithmetic number, because the mean of its divisors is an integer number (4518675).

Almost surely, 2101704856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101704856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108448200).

101704856 is an abundant number, since it is smaller than the sum of its proper divisors (115191544).

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

101704856 is a wasteful number, since it uses less digits than its factorization.

101704856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 101704856 is about 10084.8825476552. The cubic root of 101704856 is about 466.7817806725.

The spelling of 101704856 in words is "one hundred one million, seven hundred four thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 121 232 242 319 484 638 968 1276 2552 3509 3623 7018 7246 14036 14492 28072 28984 39853 79706 105067 159412 210134 318824 420268 438383 840536 876766 1155737 1753532 2311474 3507064 4622948 9245896 12713107 25426214 50852428 101704856