Search a number
-
+
2087940 = 2235172389
BaseRepresentation
bin111111101110000000100
310221002010010
413331300010
51013303230
6112430220
723514201
oct7756004
93832103
102087940
1111a6778
12848370
1358148a
143c4ca8
152b39b0
hex1fdc04

2087940 has 96 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 495616.

The previous prime is 2087927. The next prime is 2087941. The reversal of 2087940 is 497802.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2087898 and 2087907.

It is not an unprimeable number, because it can be changed into a prime (2087941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23416 + ... + 23504.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

22087940 is an apocalyptic number.

2087940 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 2087940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2087940 is an abundant number, since it is smaller than the sum of its proper divisors (4443900).

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

2087940 is a wasteful number, since it uses less digits than its factorization.

2087940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2087940 is about 1444.9705879360. The cubic root of 2087940 is about 127.8123062887.

The spelling of 2087940 in words is "two million, eighty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 30 34 46 51 60 68 69 85 89 92 102 115 138 170 178 204 230 255 267 276 340 345 356 391 445 460 510 534 690 782 890 1020 1068 1173 1335 1380 1513 1564 1780 1955 2047 2346 2670 3026 3910 4094 4539 4692 5340 5865 6052 6141 7565 7820 8188 9078 10235 11730 12282 15130 18156 20470 22695 23460 24564 30260 30705 34799 40940 45390 61410 69598 90780 104397 122820 139196 173995 208794 347990 417588 521985 695980 1043970 2087940