Search a number
-
+
604100640 = 253511132677
BaseRepresentation
bin100100000000011…
…101100000100000
31120002201111021210
4210000131200200
52214122210030
6135535550120
720653525233
oct4400354040
91502644253
10604100640
1128aaa9830
1214a38b340
1398203200
145a33341a
153807cbb0
hex2401d820

604100640 has 288 divisors, whose sum is σ = 2251198656. Its totient is φ = 134983680.

The previous prime is 604100633. The next prime is 604100641. The reversal of 604100640 is 46001406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (604100641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 891982 + ... + 892658.

It is an arithmetic number, because the mean of its divisors is an integer number (7816662).

Almost surely, 2604100640 is an apocalyptic number.

604100640 is a gapful number since it is divisible by the number (60) 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 604100640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125599328).

604100640 is an abundant number, since it is smaller than the sum of its proper divisors (1647098016).

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

604100640 is a wasteful number, since it uses less digits than its factorization.

604100640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 604100640 is about 24578.4588613688. The cubic root of 604100640 is about 845.3497565919.

The spelling of 604100640 in words is "six hundred four million, one hundred thousand, six hundred forty".