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5400816 = 243373041
BaseRepresentation
bin10100100110100011110000
3101011101112020
4110212203300
52340311231
6311431440
763622551
oct24464360
911141466
105400816
113059793
121985580
131171365
14a08328
1571a396
hex5268f0

5400816 has 40 divisors (see below), whose sum is σ = 14333904. Its totient is φ = 1751040.

The previous prime is 5400799. The next prime is 5400821. The reversal of 5400816 is 6180045.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256 + ... + 3296.

Almost surely, 25400816 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 5400816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7166952).

5400816 is an abundant number, since it is smaller than the sum of its proper divisors (8933088).

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

5400816 is a wasteful number, since it uses less digits than its factorization.

5400816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089 (or 3083 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5400816 is about 2323.9655763371. The cubic root of 5400816 is about 175.4499008791.

It can be divided in two parts, 5400 and 816, that added together give a triangular number (6216 = T111).

The spelling of 5400816 in words is "five million, four hundred thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 3041 6082 9123 12164 18246 24328 36492 48656 72984 112517 145968 225034 337551 450068 675102 900136 1350204 1800272 2700408 5400816