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2140992 = 2634759
BaseRepresentation
bin1000001010101101000000
311000202220000
420022231000
51022002432
6113520000
724124650
oct10125500
94022800
102140992
111232617
12873000
1359c679
143da360
152c457c
hex20ab40

2140992 has 140 divisors (see below), whose sum is σ = 7376160. Its totient is φ = 601344.

The previous prime is 2140987. The next prime is 2140993. The reversal of 2140992 is 2990412.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36259 + ... + 36317.

22140992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688080).

2140992 is an abundant number, since it is smaller than the sum of its proper divisors (5235168).

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

2140992 is an equidigital number, since it uses as much as digits as its factorization.

2140992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2140992 is about 1463.2129031689. The cubic root of 2140992 is about 128.8857831638.

The spelling of 2140992 in words is "two million, one hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 59 63 64 72 81 84 96 108 112 118 126 144 162 168 177 189 192 216 224 236 252 288 324 336 354 378 413 432 448 472 504 531 567 576 648 672 708 756 826 864 944 1008 1062 1134 1239 1296 1344 1416 1512 1593 1652 1728 1888 2016 2124 2268 2478 2592 2832 3024 3186 3304 3717 3776 4032 4248 4536 4779 4956 5184 5664 6048 6372 6608 7434 8496 9072 9558 9912 11151 11328 12096 12744 13216 14868 16992 18144 19116 19824 22302 25488 26432 29736 33453 33984 36288 38232 39648 44604 50976 59472 66906 76464 79296 89208 101952 118944 133812 152928 178416 237888 267624 305856 356832 535248 713664 1070496 2140992