Search a number
-
+
96100000 = 2555312
BaseRepresentation
bin1011011101001…
…01111010100000
320200211101102021
411232211322200
5144100200000
613311431224
72244556633
oct556457240
9220741367
1096100000
114a278397
1228225514
1316ba9609
14ca97c1a
15868411a
hex5ba5ea0

96100000 has 108 divisors (see below), whose sum is σ = 244355454. Its totient is φ = 37200000.

The previous prime is 96099979. The next prime is 96100001. The reversal of 96100000 is 169.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 138384 + 95961616 = 372^2 + 9796^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 10.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (96100001) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3099985 + ... + 3100015.

Almost surely, 296100000 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 96100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122177727).

96100000 is an abundant number, since it is smaller than the sum of its proper divisors (148255454).

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

96100000 is an frugal number, since it uses more digits than its factorization.

96100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 96100000 is about 9803.0607465220. The cubic root of 96100000 is about 458.0446299383.

Adding to 96100000 its reverse (169), we get a palindrome (96100169).

The spelling of 96100000 in words is "ninety-six million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 625 775 800 961 992 1000 1240 1250 1550 1922 2000 2480 2500 3100 3125 3844 3875 4000 4805 4960 5000 6200 6250 7688 7750 9610 10000 12400 12500 15376 15500 19220 19375 20000 24025 24800 25000 30752 31000 38440 38750 48050 50000 62000 76880 77500 96100 96875 100000 120125 124000 153760 155000 192200 193750 240250 310000 384400 387500 480500 600625 620000 768800 775000 961000 1201250 1550000 1922000 2402500 3003125 3100000 3844000 4805000 6006250 9610000 12012500 19220000 24025000 48050000 96100000