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2159040 = 263513173
BaseRepresentation
bin1000001111000111000000
311001200122110
420033013000
51023042130
6114135320
724231402
oct10170700
94050573
102159040
111245134
12881540
135a7950
14402b72
152c9ab0
hex20f1c0

2159040 has 112 divisors (see below), whose sum is σ = 7424928. Its totient is φ = 528384.

The previous prime is 2159023. The next prime is 2159041. The reversal of 2159040 is 409512.

It is a super-2 number, since 2×21590402 = 9322907443200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2158998 and 2159016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2159041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12394 + ... + 12566.

It is an arithmetic number, because the mean of its divisors is an integer number (66294).

22159040 is an apocalyptic number.

2159040 is a gapful number since it is divisible by the number (20) 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 2159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712464).

2159040 is an abundant number, since it is smaller than the sum of its proper divisors (5265888).

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

2159040 is a wasteful number, since it uses less digits than its factorization.

2159040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2159040 is about 1469.3672107407. The cubic root of 2159040 is about 129.2469280335.

The spelling of 2159040 in words is "two million, one hundred fifty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 173 192 195 208 240 260 312 320 346 390 416 480 519 520 624 692 780 832 865 960 1038 1040 1248 1384 1560 1730 2076 2080 2249 2496 2595 2768 3120 3460 4152 4160 4498 5190 5536 6240 6747 6920 8304 8996 10380 11072 11245 12480 13494 13840 16608 17992 20760 22490 26988 27680 33216 33735 35984 41520 44980 53976 55360 67470 71968 83040 89960 107952 134940 143936 166080 179920 215904 269880 359840 431808 539760 719680 1079520 2159040