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2158240 = 25574147
BaseRepresentation
bin1000001110111010100000
311001122112211
420032322200
51023030430
6114131504
724226150
oct10167240
94048484
102158240
111244577
12880b94
135a7486
14402760
152c972a
hex20eea0

2158240 has 96 divisors (see below), whose sum is σ = 6096384. Its totient is φ = 706560.

The previous prime is 2158237. The next prime is 2158259. The reversal of 2158240 is 428512.

It is a plaindrome in base 11.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45897 + ... + 45943.

It is an arithmetic number, because the mean of its divisors is an integer number (63504).

22158240 is an apocalyptic number.

2158240 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 2158240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048192).

2158240 is an abundant number, since it is smaller than the sum of its proper divisors (3938144).

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

2158240 is a wasteful number, since it uses less digits than its factorization.

2158240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 2158240 is about 1469.0949594904. The cubic root of 2158240 is about 129.2309625557.

The spelling of 2158240 in words is "two million, one hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 47 56 70 80 82 94 112 140 160 164 188 205 224 235 280 287 328 329 376 410 470 560 574 656 658 752 820 940 1120 1148 1312 1316 1435 1504 1640 1645 1880 1927 2296 2632 2870 3280 3290 3760 3854 4592 5264 5740 6560 6580 7520 7708 9184 9635 10528 11480 13160 13489 15416 19270 22960 26320 26978 30832 38540 45920 52640 53956 61664 67445 77080 107912 134890 154160 215824 269780 308320 431648 539560 1079120 2158240