Search a number
-
+
2120140 = 2251123419
BaseRepresentation
bin1000000101100111001100
310222201021201
420011213030
51020321030
6113235244
724010111
oct10054714
93881251
102120140
111218990
12862b24
13593029
143d2908
152bd2ca
hex2059cc

2120140 has 48 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 735680.

The previous prime is 2120119. The next prime is 2120143. The reversal of 2120140 is 410212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2120143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4851 + ... + 5269.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

22120140 is an apocalyptic number.

2120140 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 2120140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

2120140 is an abundant number, since it is smaller than the sum of its proper divisors (2960180).

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

2120140 is a wasteful number, since it uses less digits than its factorization.

2120140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2120140 is about 1456.0700532598. The cubic root of 2120140 is about 128.4659935145.

Adding to 2120140 its reverse (410212), we get a palindrome (2530352).

The spelling of 2120140 in words is "two million, one hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 419 460 506 838 1012 1265 1676 2095 2530 4190 4609 5060 8380 9218 9637 18436 19274 23045 38548 46090 48185 92180 96370 106007 192740 212014 424028 530035 1060070 2120140