Search a number
-
+
96021920 = 2551733469
BaseRepresentation
bin1011011100100…
…10110110100000
320200200102022102
411232102312200
5144040200140
613310025532
72244113201
oct556226640
9220612272
1096021920
114a224765
12281a82a8
1316b7cc07
14ca775a8
15866ae15
hex5b92da0

96021920 has 48 divisors (see below), whose sum is σ = 228228840. Its totient is φ = 38175744.

The previous prime is 96021901. The next prime is 96021923. The reversal of 96021920 is 2912069.

It can be written as a sum of positive squares in 4 ways, for example, as 71301136 + 24720784 = 8444^2 + 4972^2 .

It is not an unprimeable number, because it can be changed into a prime (96021923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25946 + ... + 29414.

Almost surely, 296021920 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 96021920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114114420).

96021920 is an abundant number, since it is smaller than the sum of its proper divisors (132206920).

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

96021920 is a wasteful number, since it uses less digits than its factorization.

96021920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3657 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 96021920 is about 9799.0775076024. The cubic root of 96021920 is about 457.9205445583.

Adding to 96021920 its reverse (2912069), we get a palindrome (98933989).

The spelling of 96021920 in words is "ninety-six million, twenty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 173 346 692 865 1384 1730 2768 3460 3469 5536 6920 6938 13840 13876 17345 27680 27752 34690 55504 69380 111008 138760 277520 555040 600137 1200274 2400548 3000685 4801096 6001370 9602192 12002740 19204384 24005480 48010960 96021920