Search a number
-
+
2110040 = 2351729107
BaseRepresentation
bin1000000011001001011000
310222012102122
420003021120
51020010130
6113120412
723635502
oct10031130
93865378
102110040
111211339
12859108
1358b55a
143ccd72
152ba2e5
hex203258

2110040 has 64 divisors (see below), whose sum is σ = 5248800. Its totient is φ = 759808.

The previous prime is 2110037. The next prime is 2110063. The reversal of 2110040 is 400112.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 19667 + ... + 19773.

22110040 is an apocalyptic number.

2110040 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 2110040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624400).

2110040 is an abundant number, since it is smaller than the sum of its proper divisors (3138760).

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

2110040 is a wasteful number, since it uses less digits than its factorization.

2110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2110040 is about 1452.5976731360. The cubic root of 2110040 is about 128.2616717285.

Adding to 2110040 its reverse (400112), we get a palindrome (2510152).

The spelling of 2110040 in words is "two million, one hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 107 116 136 145 170 214 232 290 340 428 493 535 580 680 856 986 1070 1160 1819 1972 2140 2465 3103 3638 3944 4280 4930 6206 7276 9095 9860 12412 14552 15515 18190 19720 24824 31030 36380 52751 62060 72760 105502 124120 211004 263755 422008 527510 1055020 2110040