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101074716 = 22341571987
BaseRepresentation
bin1100000011001…
…00011100011100
321001012010110000
412001210130130
5201333342331
614010214300
72335056321
oct601443434
9231163400
10101074716
1152065a26
1229a24390
1317c2ba32
14d5d0b48
158d180e6
hex606471c

101074716 has 60 divisors (see below), whose sum is σ = 266046088. Its totient is φ = 33460128.

The previous prime is 101074709. The next prime is 101074739. The reversal of 101074716 is 617470101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 101074716.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 49875 + ... + 51861.

Almost surely, 2101074716 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 101074716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133023044).

101074716 is an abundant number, since it is smaller than the sum of its proper divisors (164971372).

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

101074716 is a wasteful number, since it uses less digits than its factorization.

101074716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 101074716 is about 10053.5921938380. The cubic root of 101074716 is about 465.8157584889.

The spelling of 101074716 in words is "one hundred one million, seventy-four thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 157 162 314 324 471 628 942 1413 1884 1987 2826 3974 4239 5652 5961 7948 8478 11922 12717 16956 17883 23844 25434 35766 50868 53649 71532 107298 160947 214596 311959 321894 623918 643788 935877 1247836 1871754 2807631 3743508 5615262 8422893 11230524 16845786 25268679 33691572 50537358 101074716