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5376240 = 2433519131
BaseRepresentation
bin10100100000100011110000
3101010010211000
4110200203300
52334014430
6311122000
763461112
oct24404360
911103730
105376240
113042281
121973300
13116310c
149dd3b2
15712e60
hex5208f0

5376240 has 160 divisors (see below), whose sum is σ = 19641600. Its totient is φ = 1347840.

The previous prime is 5376209. The next prime is 5376251. The reversal of 5376240 is 426735.

It is a happy number.

5376240 is a `hidden beast` number, since 5 + 37 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40975 + ... + 41105.

It is an arithmetic number, because the mean of its divisors is an integer number (122760).

Almost surely, 25376240 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 5376240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9820800).

5376240 is an abundant number, since it is smaller than the sum of its proper divisors (14265360).

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

5376240 is a wasteful number, since it uses less digits than its factorization.

5376240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5376240 is about 2318.6720337297. The cubic root of 5376240 is about 175.1833724134.

The spelling of 5376240 in words is "five million, three hundred seventy-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 131 135 144 152 171 180 190 216 228 240 262 270 285 304 342 360 380 393 432 456 513 524 540 570 655 684 720 760 786 855 912 1026 1048 1080 1140 1179 1310 1368 1520 1572 1710 1965 2052 2096 2160 2280 2358 2489 2565 2620 2736 3144 3420 3537 3930 4104 4560 4716 4978 5130 5240 5895 6288 6840 7074 7467 7860 8208 9432 9956 10260 10480 11790 12445 13680 14148 14934 15720 17685 18864 19912 20520 22401 23580 24890 28296 29868 31440 35370 37335 39824 41040 44802 47160 49780 56592 59736 67203 70740 74670 89604 94320 99560 112005 119472 134406 141480 149340 179208 199120 224010 268812 282960 298680 336015 358416 448020 537624 597360 672030 896040 1075248 1344060 1792080 2688120 5376240