Search a number
-
+
2101880 = 2351117281
BaseRepresentation
bin1000000001001001111000
310221210020102
420001021320
51014230010
6113014532
723602634
oct10011170
93853212
102101880
1112061a0
12854448
13587921
143c9dc4
152b7ba5
hex201278

2101880 has 64 divisors (see below), whose sum is σ = 5482080. Its totient is φ = 716800.

The previous prime is 2101873. The next prime is 2101903. The reversal of 2101880 is 881012.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7340 + ... + 7620.

22101880 is an apocalyptic number.

2101880 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 2101880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741040).

2101880 is an abundant number, since it is smaller than the sum of its proper divisors (3380200).

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

2101880 is a wasteful number, since it uses less digits than its factorization.

2101880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 2101880 is about 1449.7861911330. The cubic root of 2101880 is about 128.0961192093.

Adding to 2101880 its reverse (881012), we get a palindrome (2982892).

The spelling of 2101880 in words is "two million, one hundred one thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 281 340 374 440 562 680 748 935 1124 1405 1496 1870 2248 2810 3091 3740 4777 5620 6182 7480 9554 11240 12364 15455 19108 23885 24728 30910 38216 47770 52547 61820 95540 105094 123640 191080 210188 262735 420376 525470 1050940 2101880