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5307400 = 2352717223
BaseRepresentation
bin10100001111110000001000
3100222122101101
4110033300020
52324314100
6305431144
763053320
oct24176010
910878341
105307400
112aa558a
12193b4b4
13113a997
149c2280
156ec86a
hex50fc08

5307400 has 96 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 1704960.

The previous prime is 5307397. The next prime is 5307433. The reversal of 5307400 is 47035.

5307400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23689 + ... + 23911.

It is an arithmetic number, because the mean of its divisors is an integer number (156240).

Almost surely, 25307400 is an apocalyptic number.

5307400 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 5307400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

5307400 is an abundant number, since it is smaller than the sum of its proper divisors (9691640).

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

5307400 is a wasteful number, since it uses less digits than its factorization.

5307400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 5307400 is about 2303.7795033379. The cubic root of 5307400 is about 174.4324470392.

The spelling of 5307400 in words is "five million, three hundred seven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 136 140 170 175 200 223 238 280 340 350 425 446 476 595 680 700 850 892 952 1115 1190 1400 1561 1700 1784 2230 2380 2975 3122 3400 3791 4460 4760 5575 5950 6244 7582 7805 8920 11150 11900 12488 15164 15610 18955 22300 23800 26537 30328 31220 37910 39025 44600 53074 62440 75820 78050 94775 106148 132685 151640 156100 189550 212296 265370 312200 379100 530740 663425 758200 1061480 1326850 2653700 5307400