Search a number
-
+
2407140 = 2232543311
BaseRepresentation
bin1001001011101011100100
311112021222100
421023223210
51104012030
6123332100
726313621
oct11135344
94467870
102407140
1113a457a
12981030
13663858
14469348
15328360
hex24bae4

2407140 has 72 divisors (see below), whose sum is σ = 7495488. Its totient is φ = 624960.

The previous prime is 2407127. The next prime is 2407147. The reversal of 2407140 is 417042.

It is a happy number.

2407140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2407147) 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 23 ways as a sum of consecutive naturals, for example, 7585 + ... + 7895.

It is an arithmetic number, because the mean of its divisors is an integer number (104104).

22407140 is an apocalyptic number.

2407140 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 2407140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747744).

2407140 is an abundant number, since it is smaller than the sum of its proper divisors (5088348).

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

2407140 is a wasteful number, since it uses less digits than its factorization.

2407140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2407140 is about 1551.4960522025. The cubic root of 2407140 is about 134.0192294376.

The spelling of 2407140 in words is "two million, four hundred seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 311 387 430 516 622 645 774 860 933 1244 1290 1548 1555 1866 1935 2580 2799 3110 3732 3870 4665 5598 6220 7740 9330 11196 13373 13995 18660 26746 27990 40119 53492 55980 66865 80238 120357 133730 160476 200595 240714 267460 401190 481428 601785 802380 1203570 2407140