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2138940 = 2233517233
BaseRepresentation
bin1000001010001100111100
311000200002000
420022030330
51021421230
6113502300
724115656
oct10121474
94020060
102138940
111231021
12871990
1359b75b
143d96d6
152c3b60
hex20a33c

2138940 has 96 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 534528.

The previous prime is 2138909. The next prime is 2138971. The reversal of 2138940 is 498312.

It is an interprime number because it is at equal distance from previous prime (2138909) and next prime (2138971).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9064 + ... + 9296.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

22138940 is an apocalyptic number.

2138940 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 2138940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2138940 is an abundant number, since it is smaller than the sum of its proper divisors (4937220).

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

2138940 is a wasteful number, since it uses less digits than its factorization.

2138940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2138940 is about 1462.5115384160. The cubic root of 2138940 is about 128.8445938202.

The spelling of 2138940 in words is "two million, one hundred thirty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 233 255 270 306 340 459 466 510 540 612 699 765 918 932 1020 1165 1398 1530 1836 2097 2295 2330 2796 3060 3495 3961 4194 4590 4660 6291 6990 7922 8388 9180 10485 11883 12582 13980 15844 19805 20970 23766 25164 31455 35649 39610 41940 47532 59415 62910 71298 79220 106947 118830 125820 142596 178245 213894 237660 356490 427788 534735 712980 1069470 2138940