Search a number
-
+
96038620 = 22531191811
BaseRepresentation
bin1011011100101…
…10111011011100
320200201021012221
411232112323130
5144041213440
613310235124
72244212656
oct556267334
9220637187
1096038620
114a236267
12281b5aa4
1316b876b2
14ca7d6d6
158670d4a
hex5b96edc

96038620 has 48 divisors (see below), whose sum is σ = 209534976. Its totient is φ = 36936000.

The previous prime is 96038617. The next prime is 96038623. The reversal of 96038620 is 2683069.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (96038617) and next prime (96038623).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96038623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118015 + ... + 118825.

It is an arithmetic number, because the mean of its divisors is an integer number (4365312).

Almost surely, 296038620 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 96038620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104767488).

96038620 is an abundant number, since it is smaller than the sum of its proper divisors (113496356).

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

96038620 is a wasteful number, since it uses less digits than its factorization.

96038620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 96038620 is about 9799.9295915838. The cubic root of 96038620 is about 457.9470899895.

The spelling of 96038620 in words is "ninety-six million, thirty-eight thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 191 310 382 620 764 811 955 1622 1910 3244 3820 4055 5921 8110 11842 16220 23684 25141 29605 50282 59210 100564 118420 125705 154901 251410 309802 502820 619604 774505 1549010 3098020 4801931 9603862 19207724 24009655 48019310 96038620