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5345400 = 2335259151
BaseRepresentation
bin10100011001000001111000
3101001120111210
4110121001320
52332023100
6310323120
763302154
oct24310170
911046453
105345400
113021095
1219594a0
131152078
149d2064
15708c50
hex519078

5345400 has 96 divisors (see below), whose sum is σ = 16963200. Its totient is φ = 1392000.

The previous prime is 5345393. The next prime is 5345401. The reversal of 5345400 is 45435.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5345401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35325 + ... + 35475.

It is an arithmetic number, because the mean of its divisors is an integer number (176700).

Almost surely, 25345400 is an apocalyptic number.

5345400 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 5345400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8481600).

5345400 is an abundant number, since it is smaller than the sum of its proper divisors (11617800).

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

5345400 is a wasteful number, since it uses less digits than its factorization.

5345400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 220 counting only the distinct ones).

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

The square root of 5345400 is about 2312.0121106949. The cubic root of 5345400 is about 174.8477587526.

The spelling of 5345400 in words is "five million, three hundred forty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 59 60 75 100 118 120 150 151 177 200 236 295 300 302 354 453 472 590 600 604 708 755 885 906 1180 1208 1416 1475 1510 1770 1812 2265 2360 2950 3020 3540 3624 3775 4425 4530 5900 6040 7080 7550 8850 8909 9060 11325 11800 15100 17700 17818 18120 22650 26727 30200 35400 35636 44545 45300 53454 71272 89090 90600 106908 133635 178180 213816 222725 267270 356360 445450 534540 668175 890900 1069080 1336350 1781800 2672700 5345400