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2492160 = 28351159
BaseRepresentation
bin1001100000011100000000
311200121121020
421200130000
51114222120
6125225440
730116526
oct11403400
94617536
102492160
111452440
12a02280
13693468
1448c316
15343640
hex260700

2492160 has 144 divisors (see below), whose sum is σ = 8830080. Its totient is φ = 593920.

The previous prime is 2492159. The next prime is 2492197. The reversal of 2492160 is 612942.

It is a super-2 number, since 2×24921602 = 12421722931200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2492160.

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, 42211 + ... + 42269.

It is an arithmetic number, because the mean of its divisors is an integer number (61320).

22492160 is an apocalyptic number.

2492160 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 2492160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415040).

2492160 is an abundant number, since it is smaller than the sum of its proper divisors (6337920).

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

2492160 is a wasteful number, since it uses less digits than its factorization.

2492160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2492160 is about 1578.6576576320. The cubic root of 2492160 is about 135.5788587049.

The spelling of 2492160 in words is "two million, four hundred ninety-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 59 60 64 66 80 88 96 110 118 120 128 132 160 165 176 177 192 220 236 240 256 264 295 320 330 352 354 384 440 472 480 528 590 640 649 660 704 708 768 880 885 944 960 1056 1180 1280 1298 1320 1408 1416 1760 1770 1888 1920 1947 2112 2360 2596 2640 2816 2832 3245 3520 3540 3776 3840 3894 4224 4720 5192 5280 5664 6490 7040 7080 7552 7788 8448 9440 9735 10384 10560 11328 12980 14080 14160 15104 15576 18880 19470 20768 21120 22656 25960 28320 31152 37760 38940 41536 42240 45312 51920 56640 62304 75520 77880 83072 103840 113280 124608 155760 166144 207680 226560 249216 311520 415360 498432 623040 830720 1246080 2492160