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96721000 = 23533112
BaseRepresentation
bin1011100001111…
…01100001101000
320201222221021021
411300331201220
5144230033000
613333022224
72253054265
oct560754150
9221887237
1096721000
114a661a12
1228484974
131706617c
14cbba26c
15875811a
hex5c3d868

96721000 has 48 divisors (see below), whose sum is σ = 227057220. Its totient is φ = 38564000.

The previous prime is 96720989. The next prime is 96721021. The reversal of 96721000 is 12769.

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 2 ways, for example, as 65383396 + 31337604 = 8086^2 + 5598^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 310845 + ... + 311155.

Almost surely, 296721000 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 96721000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113528610).

96721000 is an abundant number, since it is smaller than the sum of its proper divisors (130336220).

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

96721000 is an equidigital number, since it uses as much as digits as its factorization.

96721000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 96721000 is about 9834.6835231237. The cubic root of 96721000 is about 459.0291433185.

Adding to 96721000 its reverse (12769), we get a palindrome (96733769).

The spelling of 96721000 in words is "ninety-six million, seven hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 311 500 622 1000 1244 1555 2488 3110 6220 7775 12440 15550 31100 38875 62200 77750 96721 155500 193442 311000 386884 483605 773768 967210 1934420 2418025 3868840 4836050 9672100 12090125 19344200 24180250 48360500 96721000