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5733840 = 243573413
BaseRepresentation
bin10101110111110111010000
3101210022100110
4111313313100
52431440330
6322521320
766510510
oct25676720
911708313
105733840
113266a12
121b06240
131259b08
14a93840
15783db0
hex577dd0

5733840 has 80 divisors (see below), whose sum is σ = 20320128. Its totient is φ = 1310208.

The previous prime is 5733829. The next prime is 5733857. The reversal of 5733840 is 483375.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×57338402 = 65753842291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5733798 and 5733807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27 + ... + 3386.

Almost surely, 25733840 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 5733840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160064).

5733840 is an abundant number, since it is smaller than the sum of its proper divisors (14586288).

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

5733840 is a wasteful number, since it uses less digits than its factorization.

5733840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 5733840 is about 2394.5437978872. The cubic root of 5733840 is about 178.9844040384.

The spelling of 5733840 in words is "five million, seven hundred thirty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 3413 6826 10239 13652 17065 20478 23891 27304 34130 40956 47782 51195 54608 68260 71673 81912 95564 102390 119455 136520 143346 163824 191128 204780 238910 273040 286692 358365 382256 409560 477820 573384 716730 819120 955640 1146768 1433460 1911280 2866920 5733840