Search a number
-
+
96300660 = 223515710223
BaseRepresentation
bin1011011110101…
…10111001110100
320201012120200010
411233112321310
5144123110120
613320020220
72246353641
oct557267164
9221176603
1096300660
114a3a5125
1228301670
1316c49a51
14cb0adc8
1586c37e0
hex5bd6e74

96300660 has 48 divisors (see below), whose sum is σ = 271385856. Its totient is φ = 25514112.

The previous prime is 96300653. The next prime is 96300661. The reversal of 96300660 is 6600369.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96300661) 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, 4309 + ... + 14531.

It is an arithmetic number, because the mean of its divisors is an integer number (5653872).

Almost surely, 296300660 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 96300660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135692928).

96300660 is an abundant number, since it is smaller than the sum of its proper divisors (175085196).

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

96300660 is a wasteful number, since it uses less digits than its factorization.

96300660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10392 (or 10390 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 96300660 is about 9813.2899682013. The cubic root of 96300660 is about 458.3632124506.

The spelling of 96300660 in words is "ninety-six million, three hundred thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1570 1884 2355 3140 4710 9420 10223 20446 30669 40892 51115 61338 102230 122676 153345 204460 306690 613380 1605011 3210022 4815033 6420044 8025055 9630066 16050110 19260132 24075165 32100220 48150330 96300660