Search a number
-
+
8100096 = 28353199
BaseRepresentation
bin11110111001100100000000
3120020112020120
4132321210000
54033200341
6445340240
7125564304
oct36714400
916215216
108100096
1146327a4
122867680
1318a7b74
14110bd04
15aa0066
hex7b9900

8100096 has 72 divisors (see below), whose sum is σ = 22075200. Its totient is φ = 2635776.

The previous prime is 8100091. The next prime is 8100097. The reversal of 8100096 is 6900018.

It is a super-2 number, since 2×81000962 = 131223110418432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8100091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40605 + ... + 40803.

It is an arithmetic number, because the mean of its divisors is an integer number (306600).

Almost surely, 28100096 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 8100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11037600).

8100096 is an abundant number, since it is smaller than the sum of its proper divisors (13975104).

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

8100096 is a wasteful number, since it uses less digits than its factorization.

8100096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 8100096 is about 2846.0667595824. The cubic root of 8100096 is about 200.8306784235.

The spelling of 8100096 in words is "eight million, one hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 199 212 256 318 384 398 424 597 636 768 796 848 1194 1272 1592 1696 2388 2544 3184 3392 4776 5088 6368 6784 9552 10176 10547 12736 13568 19104 20352 21094 25472 31641 38208 40704 42188 50944 63282 76416 84376 126564 152832 168752 253128 337504 506256 675008 1012512 1350016 2025024 2700032 4050048 8100096