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645840 = 243351323
BaseRepresentation
bin10011101101011010000
31012210221000
42131223100
5131131330
621502000
75326626
oct2355320
91183830
10645840
11401258
12271900
13197c70
1412b516
15cb560
hex9dad0

645840 has 160 divisors (see below), whose sum is σ = 2499840. Its totient is φ = 152064.

The previous prime is 645839. The next prime is 645851. The reversal of 645840 is 48546.

645840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 28069 + ... + 28091.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2645840 is an apocalyptic number.

645840 is a gapful number since it is divisible by the number (60) 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 645840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249920).

645840 is an abundant number, since it is smaller than the sum of its proper divisors (1854000).

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

645840 is a wasteful number, since it uses less digits than its factorization.

645840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 645840 is about 803.6417112122. The cubic root of 645840 is about 86.4387172155.

It can be divided in two parts, 645 and 840, that added together give a triangular number (1485 = T54).

The spelling of 645840 in words is "six hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 26 27 30 36 39 40 45 46 48 52 54 60 65 69 72 78 80 90 92 104 108 115 117 120 130 135 138 144 156 180 184 195 207 208 216 230 234 240 260 270 276 299 312 345 351 360 368 390 414 432 460 468 520 540 552 585 598 621 624 690 702 720 780 828 897 920 936 1035 1040 1080 1104 1170 1196 1242 1380 1404 1495 1560 1656 1755 1794 1840 1872 2070 2160 2340 2392 2484 2691 2760 2808 2990 3105 3120 3312 3510 3588 4140 4485 4680 4784 4968 5382 5520 5616 5980 6210 7020 7176 8073 8280 8970 9360 9936 10764 11960 12420 13455 14040 14352 16146 16560 17940 21528 23920 24840 26910 28080 32292 35880 40365 43056 49680 53820 64584 71760 80730 107640 129168 161460 215280 322920 645840