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894240 = 2535523
BaseRepresentation
bin11011010010100100000
31200102200000
43122110200
5212103430
631100000
710413054
oct3322440
91612600
10894240
11560946
12371600
13254049
14193c64
15129e60
hexda520

894240 has 144 divisors (see below), whose sum is σ = 3302208. Its totient is φ = 228096.

The previous prime is 894239. The next prime is 894247. The reversal of 894240 is 42498.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nialpdrome in base 6 and base 16.

It is not an unprimeable number, because it can be changed into a prime (894247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38869 + ... + 38891.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2894240 is an apocalyptic number.

894240 is a gapful number since it is divisible by the number (80) 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 894240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651104).

894240 is an abundant number, since it is smaller than the sum of its proper divisors (2407968).

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

894240 is a wasteful number, since it uses less digits than its factorization.

894240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 894240 is about 945.6426386326. The cubic root of 894240 is about 96.3425264179.

The spelling of 894240 in words is "eight hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 32 36 40 45 46 48 54 60 69 72 80 81 90 92 96 108 115 120 135 138 144 160 162 180 184 207 216 230 240 243 270 276 288 324 345 360 368 405 414 432 460 480 486 540 552 621 648 690 720 736 810 828 864 920 972 1035 1080 1104 1215 1242 1296 1380 1440 1620 1656 1840 1863 1944 2070 2160 2208 2430 2484 2592 2760 3105 3240 3312 3680 3726 3888 4140 4320 4860 4968 5520 5589 6210 6480 6624 7452 7776 8280 9315 9720 9936 11040 11178 12420 12960 14904 16560 18630 19440 19872 22356 24840 27945 29808 33120 37260 38880 44712 49680 55890 59616 74520 89424 99360 111780 149040 178848 223560 298080 447120 894240