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5407400 = 2352191423
BaseRepresentation
bin10100101000001010101000
3101011201120002
4110220022220
52341014100
6311522132
763651005
oct24501250
911151502
105407400
113063729
121989348
13117435b
14a0a8ac
1571c2d5
hex5282a8

5407400 has 48 divisors (see below), whose sum is σ = 13243200. Its totient is φ = 2047680.

The previous prime is 5407399. The next prime is 5407403. The reversal of 5407400 is 47045.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (5407403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3089 + ... + 4511.

It is an arithmetic number, because the mean of its divisors is an integer number (275900).

Almost surely, 25407400 is an apocalyptic number.

5407400 is a gapful number since it is divisible by the number (50) 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 5407400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6621600).

5407400 is an abundant number, since it is smaller than the sum of its proper divisors (7835800).

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

5407400 is a wasteful number, since it uses less digits than its factorization.

5407400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 5407400 is about 2325.3816890997. The cubic root of 5407400 is about 175.5211674590.

The spelling of 5407400 in words is "five million, four hundred seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1423 1900 2846 3800 5692 7115 11384 14230 27037 28460 35575 54074 56920 71150 108148 135185 142300 216296 270370 284600 540740 675925 1081480 1351850 2703700 5407400