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797040 = 2435541
BaseRepresentation
bin11000010100101110000
31111111100000
43002211300
5201001130
625030000
76526506
oct3024560
91444300
10797040
114a4912
12325300
1321ba2a
1416a676
1510b260
hexc2970

797040 has 120 divisors (see below), whose sum is σ = 2843568. Its totient is φ = 207360.

The previous prime is 797039. The next prime is 797051. The reversal of 797040 is 40797.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an Ulam number.

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 796995 and 797013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19420 + ... + 19460.

2797040 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 797040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421784).

797040 is an abundant number, since it is smaller than the sum of its proper divisors (2046528).

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

797040 is a wasteful number, since it uses less digits than its factorization.

797040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 797040 is about 892.7709672699. The cubic root of 797040 is about 92.7171426493.

Multiplying 797040 by its sum of digits (27), we get a triangular number (21520080 = T6560).

The spelling of 797040 in words is "seven hundred ninety-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 41 45 48 54 60 72 80 81 82 90 108 120 123 135 144 162 164 180 205 216 240 243 246 270 324 328 360 369 405 410 432 486 492 540 615 648 656 720 738 810 820 972 984 1080 1107 1215 1230 1296 1476 1620 1640 1845 1944 1968 2160 2214 2430 2460 2952 3240 3280 3321 3690 3888 4428 4860 4920 5535 5904 6480 6642 7380 8856 9720 9840 9963 11070 13284 14760 16605 17712 19440 19926 22140 26568 29520 33210 39852 44280 49815 53136 66420 79704 88560 99630 132840 159408 199260 265680 398520 797040