Search a number
-
+
104097504 = 25371931263
BaseRepresentation
bin1100011010001…
…10011011100000
321020212200221010
412031012123200
5203122110004
614155100520
72402546160
oct615063340
9236780833
10104097504
115383aaa5
122aa41740
1318749874
14db7a5a0
159213a89
hex63466e0

104097504 has 192 divisors, whose sum is σ = 340623360. Its totient is φ = 27164160.

The previous prime is 104097503. The next prime is 104097533. The reversal of 104097504 is 405790401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104097503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395677 + ... + 395939.

It is an arithmetic number, because the mean of its divisors is an integer number (1774080).

Almost surely, 2104097504 is an apocalyptic number.

104097504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104097504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170311680).

104097504 is an abundant number, since it is smaller than the sum of its proper divisors (236525856).

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

104097504 is a wasteful number, since it uses less digits than its factorization.

104097504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 104097504 is about 10202.8184341387. The cubic root of 104097504 is about 470.4138560868.

The spelling of 104097504 in words is "one hundred four million, ninety-seven thousand, five hundred four".