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5406640 = 245193557
BaseRepresentation
bin10100100111111110110000
3101011200111221
4110213332300
52341003030
6311514424
763645541
oct24477660
911150457
105406640
1130630a8
121988a14
131173bc5
14a0a4c8
1571be7a
hex527fb0

5406640 has 40 divisors (see below), whose sum is σ = 13235760. Its totient is φ = 2048256.

The previous prime is 5406623. The next prime is 5406641. The reversal of 5406640 is 466045.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (5406641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259 + ... + 3298.

It is an arithmetic number, because the mean of its divisors is an integer number (330894).

Almost surely, 25406640 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 5406640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6617880).

5406640 is an abundant number, since it is smaller than the sum of its proper divisors (7829120).

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

5406640 is a wasteful number, since it uses less digits than its factorization.

5406640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 5406640 is about 2325.2182693244. The cubic root of 5406640 is about 175.5129440160.

The spelling of 5406640 in words is "five million, four hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 3557 7114 14228 17785 28456 35570 56912 67583 71140 135166 142280 270332 284560 337915 540664 675830 1081328 1351660 2703320 5406640