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96011100 = 223252107997
BaseRepresentation
bin1011011100100…
…00001101011100
320200122212110200
411232100031130
5144034323400
613305503500
72244036513
oct556201534
9220585420
1096011100
114a217619
12281a1b90
1316b78003
14ca7367a
158667b00
hex5b9035c

96011100 has 108 divisors (see below), whose sum is σ = 304058664. Its totient is φ = 25338240.

The previous prime is 96011077. The next prime is 96011101. The reversal of 96011100 is 111069.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96011101) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 95802 + ... + 96798.

It is an arithmetic number, because the mean of its divisors is an integer number (2815358).

Almost surely, 296011100 is an apocalyptic number.

96011100 is a gapful number since it is divisible by the number (90) 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 96011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152029332).

96011100 is an abundant number, since it is smaller than the sum of its proper divisors (208047564).

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

96011100 is a wasteful number, since it uses less digits than its factorization.

96011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 96011100 is about 9798.5253992629. The cubic root of 96011100 is about 457.9033440191.

Adding to 96011100 its reverse (111069), we get a palindrome (96122169).

It can be divided in two parts, 9601 and 1100, that added together give a palindrome (10701).

The spelling of 96011100 in words is "ninety-six million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 107 150 180 214 225 300 321 428 450 535 642 900 963 997 1070 1284 1605 1926 1994 2140 2675 2991 3210 3852 3988 4815 4985 5350 5982 6420 8025 8973 9630 9970 10700 11964 14955 16050 17946 19260 19940 24075 24925 29910 32100 35892 44865 48150 49850 59820 74775 89730 96300 99700 106679 149550 179460 213358 224325 299100 320037 426716 448650 533395 640074 897300 960111 1066790 1280148 1600185 1920222 2133580 2666975 3200370 3840444 4800555 5333950 6400740 8000925 9601110 10667900 16001850 19202220 24002775 32003700 48005550 96011100