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5874240 = 263529211
BaseRepresentation
bin10110011010001001000000
3102001102221110
4112122021000
53000433430
6325523320
7100634031
oct26321100
912042843
105874240
113352449
121b73540
1312a89a8
14acca88
157b07b0
hex59a240

5874240 has 112 divisors (see below), whose sum is σ = 19385280. Its totient is φ = 1505280.

The previous prime is 5874229. The next prime is 5874251. The reversal of 5874240 is 424785.

It is an interprime number because it is at equal distance from previous prime (5874229) and next prime (5874251).

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 = 5874198 and 5874207.

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, 27735 + ... + 27945.

Almost surely, 25874240 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 5874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9692640).

5874240 is an abundant number, since it is smaller than the sum of its proper divisors (13511040).

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

5874240 is a wasteful number, since it uses less digits than its factorization.

5874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 5874240 is about 2423.6831476082. The cubic root of 5874240 is about 180.4335229400.

The spelling of 5874240 in words is "five million, eight hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 145 160 174 192 211 232 240 290 320 348 422 435 464 480 580 633 696 844 870 928 960 1055 1160 1266 1392 1688 1740 1856 2110 2320 2532 2784 3165 3376 3480 4220 4640 5064 5568 6119 6330 6752 6960 8440 9280 10128 12238 12660 13504 13920 16880 18357 20256 24476 25320 27840 30595 33760 36714 40512 48952 50640 61190 67520 73428 91785 97904 101280 122380 146856 183570 195808 202560 244760 293712 367140 391616 489520 587424 734280 979040 1174848 1468560 1958080 2937120 5874240