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5435400 = 233529059
BaseRepresentation
bin10100101111000000001000
3101020010222010
4110233000020
52342413100
6312255520
764125435
oct24570010
911203863
105435400
113082773
1219a15a0
131184019
14a16b8c
15725750
hex52f008

5435400 has 48 divisors (see below), whose sum is σ = 16851600. Its totient is φ = 1449280.

The previous prime is 5435399. The next prime is 5435401. The reversal of 5435400 is 45345.

It is a happy number.

5435400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5435399) and next prime (5435401).

It is not an unprimeable number, because it can be changed into a prime (5435401) 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, 3930 + ... + 5129.

It is an arithmetic number, because the mean of its divisors is an integer number (351075).

Almost surely, 25435400 is an apocalyptic number.

5435400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5435400 is an abundant number, since it is smaller than the sum of its proper divisors (11416200).

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

5435400 is a wasteful number, since it uses less digits than its factorization.

5435400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9078 (or 9069 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 5435400 is about 2331.3944325232. The cubic root of 5435400 is about 175.8236008080.

The spelling of 5435400 in words is "five million, four hundred thirty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 9059 18118 27177 36236 45295 54354 72472 90590 108708 135885 181180 217416 226475 271770 362360 452950 543540 679425 905900 1087080 1358850 1811800 2717700 5435400