Search a number
-
+
96156720 = 24345111971
BaseRepresentation
bin1011011101100…
…11110000110000
320200221021020000
411232303300300
5144104003340
613312550000
72245214202
oct556636060
9220837200
1096156720
114a306a70
1228252300
1316bc938a
14cab0772
158695d30
hex5bb3c30

96156720 has 400 divisors, whose sum is σ = 388903680. Its totient is φ = 21772800.

The previous prime is 96156719. The next prime is 96156733. The reversal of 96156720 is 2765169.

96156720 is a `hidden beast` number, since 96 + 1 + 567 + 2 + 0 = 666.

It is a super-3 number, since 3×961567203 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1354285 + ... + 1354355.

Almost surely, 296156720 is an apocalyptic number.

96156720 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 96156720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194451840).

96156720 is an abundant number, since it is smaller than the sum of its proper divisors (292746960).

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

96156720 is a wasteful number, since it uses less digits than its factorization.

96156720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 96156720 is about 9805.9532937905. The cubic root of 96156720 is about 458.1347276897.

It can be divided in two parts, 96 and 156720, that added together give a square (156816 = 3962).

The spelling of 96156720 in words is "ninety-six million, one hundred fifty-six thousand, seven hundred twenty".