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2492100 = 2233521371
BaseRepresentation
bin1001100000011011000100
311200121112000
421200123010
51114221400
6125225300
730116412
oct11403304
94617460
102492100
111452396
12a02230
13693420
1448c2b2
15343600
hex2606c4

2492100 has 144 divisors (see below), whose sum is σ = 8749440. Its totient is φ = 604800.

The previous prime is 2492093. The next prime is 2492111. The reversal of 2492100 is 12942.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35065 + ... + 35135.

It is an arithmetic number, because the mean of its divisors is an integer number (60760).

22492100 is an apocalyptic number.

2492100 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 2492100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374720).

2492100 is an abundant number, since it is smaller than the sum of its proper divisors (6257340).

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

2492100 is a wasteful number, since it uses less digits than its factorization.

2492100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2492100 is about 1578.6386540307. The cubic root of 2492100 is about 135.5777706532.

The spelling of 2492100 in words is "two million, four hundred ninety-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 27 30 36 39 45 50 52 54 60 65 71 75 78 90 100 108 117 130 135 142 150 156 180 195 213 225 234 260 270 284 300 325 351 355 390 426 450 468 540 585 639 650 675 702 710 780 852 900 923 975 1065 1170 1278 1300 1350 1404 1420 1755 1775 1846 1917 1950 2130 2340 2556 2700 2769 2925 3195 3510 3550 3692 3834 3900 4260 4615 5325 5538 5850 6390 7020 7100 7668 8307 8775 9230 9585 10650 11076 11700 12780 13845 15975 16614 17550 18460 19170 21300 23075 24921 27690 31950 33228 35100 38340 41535 46150 47925 49842 55380 63900 69225 83070 92300 95850 99684 124605 138450 166140 191700 207675 249210 276900 415350 498420 623025 830700 1246050 2492100