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96075100 = 225211167523
BaseRepresentation
bin1011011100111…
…11110101011100
320200210010021001
411232133311130
5144043400400
613311120044
72244424222
oct556376534
9220703231
1096075100
114a260710
1228213024
1316b9b194
14ca8cb12
15867ba6a
hex5b9fd5c

96075100 has 72 divisors (see below), whose sum is σ = 229235328. Its totient is φ = 34660800.

The previous prime is 96075059. The next prime is 96075103. The reversal of 96075100 is 157069.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96075103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183439 + ... + 183961.

It is an arithmetic number, because the mean of its divisors is an integer number (3183824).

Almost surely, 296075100 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 96075100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114617664).

96075100 is an abundant number, since it is smaller than the sum of its proper divisors (133160228).

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

96075100 is a wasteful number, since it uses less digits than its factorization.

96075100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 96075100 is about 9801.7906527328. The cubic root of 96075100 is about 458.0050659547.

The spelling of 96075100 in words is "ninety-six million, seventy-five thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 167 220 275 334 523 550 668 835 1046 1100 1670 1837 2092 2615 3340 3674 4175 5230 5753 7348 8350 9185 10460 11506 13075 16700 18370 23012 26150 28765 36740 45925 52300 57530 87341 91850 115060 143825 174682 183700 287650 349364 436705 575300 873410 960751 1746820 1921502 2183525 3843004 4367050 4803755 8734100 9607510 19215020 24018775 48037550 96075100