Search a number
-
+
2119140 = 2232561193
BaseRepresentation
bin1000000101010111100100
310222122220200
420011113210
51020303030
6113230500
724004152
oct10052744
93878820
102119140
111218161
12862430
1359273a
143d23d2
152bcd60
hex2055e4

2119140 has 72 divisors (see below), whose sum is σ = 6567288. Its totient is φ = 552960.

The previous prime is 2119121. The next prime is 2119147. The reversal of 2119140 is 419112.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 2090916 = 168^2 + 1446^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2119147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10884 + ... + 11076.

22119140 is an apocalyptic number.

2119140 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 2119140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283644).

2119140 is an abundant number, since it is smaller than the sum of its proper divisors (4448148).

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

2119140 is a wasteful number, since it uses less digits than its factorization.

2119140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 2119140 is about 1455.7266226871. The cubic root of 2119140 is about 128.4457926164.

The spelling of 2119140 in words is "two million, one hundred nineteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 193 244 305 366 386 549 579 610 732 772 915 965 1098 1158 1220 1737 1830 1930 2196 2316 2745 2895 3474 3660 3860 5490 5790 6948 8685 10980 11580 11773 17370 23546 34740 35319 47092 58865 70638 105957 117730 141276 176595 211914 235460 353190 423828 529785 706380 1059570 2119140