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2162940 = 2235134759
BaseRepresentation
bin1000010000000011111100
311001212222220
420100003330
51023203230
6114205340
724245643
oct10200374
94055886
102162940
11124805a
12883850
135a9660
1440435a
152cad10
hex2100fc

2162940 has 96 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 512256.

The previous prime is 2162929. The next prime is 2162947. The reversal of 2162940 is 492612.

2162940 = T1 + T2 + ... + T234.

2162940 is a nontrivial binomial coefficient, being equal to C(236, 3).

It is a self number, because there is not a number n which added to its sum of digits gives 2162940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162947) by changing a digit.

It is the 234-th tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36631 + ... + 36689.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

22162940 is an apocalyptic number.

2162940 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 2162940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880).

2162940 is an abundant number, since it is smaller than the sum of its proper divisors (4610820).

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

2162940 is a wasteful number, since it uses less digits than its factorization.

2162940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 129 counting only the distinct ones).

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

The square root of 2162940 is about 1470.6937138643. The cubic root of 2162940 is about 129.3247033129.

The spelling of 2162940 in words is "two million, one hundred sixty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 47 52 59 60 65 78 94 118 130 141 156 177 188 195 235 236 260 282 295 354 390 470 564 590 611 705 708 767 780 885 940 1180 1222 1410 1534 1770 1833 2301 2444 2773 2820 3055 3068 3540 3666 3835 4602 5546 6110 7332 7670 8319 9165 9204 11092 11505 12220 13865 15340 16638 18330 23010 27730 33276 36049 36660 41595 46020 55460 72098 83190 108147 144196 166380 180245 216294 360490 432588 540735 720980 1081470 2162940