Search a number
-
+
2057940 = 2233537103
BaseRepresentation
bin111110110011011010100
310212112222000
413312123110
51011323230
6112035300
723330553
oct7663324
93775860
102057940
111186185
12832b30
13570921
143b7d9a
152a9b60
hex1f66d4

2057940 has 96 divisors (see below), whose sum is σ = 6639360. Its totient is φ = 528768.

The previous prime is 2057933. The next prime is 2057953. The reversal of 2057940 is 497502.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19929 + ... + 20031.

It is an arithmetic number, because the mean of its divisors is an integer number (69160).

22057940 is an apocalyptic number.

2057940 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 2057940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319680).

2057940 is an abundant number, since it is smaller than the sum of its proper divisors (4581420).

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

2057940 is a wasteful number, since it uses less digits than its factorization.

2057940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2057940 is about 1434.5521949375. The cubic root of 2057940 is about 127.1972053498.

The spelling of 2057940 in words is "two million, fifty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 103 108 111 135 148 180 185 206 222 270 309 333 370 412 444 515 540 555 618 666 740 927 999 1030 1110 1236 1332 1545 1665 1854 1998 2060 2220 2781 3090 3330 3708 3811 3996 4635 4995 5562 6180 6660 7622 9270 9990 11124 11433 13905 15244 18540 19055 19980 22866 27810 34299 38110 45732 55620 57165 68598 76220 102897 114330 137196 171495 205794 228660 342990 411588 514485 685980 1028970 2057940