Search a number
-
+
725097096 = 23341995623
BaseRepresentation
bin101011001110000…
…001101010001000
31212112101202020000
4223032001222020
52441111101341
6155541203000
723653136463
oct5316015210
91775352200
10725097096
113423311a9
12182a00460
13b72b8849
146c42c2da
15439cd8b6
hex2b381a88

725097096 has 80 divisors (see below), whose sum is σ = 2041512000. Its totient is φ = 240441696.

The previous prime is 725097091. The next prime is 725097097. The reversal of 725097096 is 690790527.

725097096 is a `hidden beast` number, since 72 + 509 + 70 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (725097091) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 126141 + ... + 131763.

It is an arithmetic number, because the mean of its divisors is an integer number (25518900).

Almost surely, 2725097096 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 725097096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020756000).

725097096 is an abundant number, since it is smaller than the sum of its proper divisors (1316414904).

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

725097096 is a wasteful number, since it uses less digits than its factorization.

725097096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5840 (or 5827 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 725097096 is about 26927.6270027643. The cubic root of 725097096 is about 898.3909918172.

The spelling of 725097096 in words is "seven hundred twenty-five million, ninety-seven thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 199 216 324 398 597 648 796 1194 1592 1791 2388 3582 4776 5373 5623 7164 10746 11246 14328 16119 16869 21492 22492 32238 33738 42984 44984 50607 64476 67476 101214 128952 134952 151821 202428 303642 404856 455463 607284 910926 1118977 1214568 1821852 2237954 3356931 3643704 4475908 6713862 8951816 10070793 13427724 20141586 26855448 30212379 40283172 60424758 80566344 90637137 120849516 181274274 241699032 362548548 725097096