Search a number
-
+
104553504 = 25341119193
BaseRepresentation
bin1100011101101…
…01110000100000
321021201212110000
412032311300200
5203231203004
614212540000
72406455466
oct616656040
9237655400
10104553504
1154021660
122b021600
13188792a3
14dc58836
1592a3c39
hex63b5c20

104553504 has 240 divisors, whose sum is σ = 354926880. Its totient is φ = 29859840.

The previous prime is 104553503. The next prime is 104553509. The reversal of 104553504 is 405355401.

104553504 is a `hidden beast` number, since 104 + 5 + 53 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104553503) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 541632 + ... + 541824.

It is an arithmetic number, because the mean of its divisors is an integer number (1478862).

Almost surely, 2104553504 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 104553504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177463440).

104553504 is an abundant number, since it is smaller than the sum of its proper divisors (250373376).

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

104553504 is a wasteful number, since it uses less digits than its factorization.

104553504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 104553504 is about 10225.1407814269. The cubic root of 104553504 is about 471.0997395169.

The spelling of 104553504 in words is "one hundred four million, five hundred fifty-three thousand, five hundred four".