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2137140 = 2232531383
BaseRepresentation
bin1000001001110000110100
311000120121100
420021300310
51021342030
6113450100
724110505
oct10116064
94016540
102137140
11122a735
12870930
1359a9a5
143d8bac
152c3360
hex209c34

2137140 has 72 divisors (see below), whose sum is σ = 6709248. Its totient is φ = 550080.

The previous prime is 2137133. The next prime is 2137141. The reversal of 2137140 is 417312.

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 (2137141) 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, 5389 + ... + 5771.

It is an arithmetic number, because the mean of its divisors is an integer number (93184).

22137140 is an apocalyptic number.

2137140 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 2137140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354624).

2137140 is an abundant number, since it is smaller than the sum of its proper divisors (4572108).

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

2137140 is a wasteful number, since it uses less digits than its factorization.

2137140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2137140 is about 1461.8960291348. The cubic root of 2137140 is about 128.8084411221.

The spelling of 2137140 in words is "two million, one hundred thirty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 383 465 558 620 766 930 1116 1149 1395 1532 1860 1915 2298 2790 3447 3830 4596 5580 5745 6894 7660 11490 11873 13788 17235 22980 23746 34470 35619 47492 59365 68940 71238 106857 118730 142476 178095 213714 237460 356190 427428 534285 712380 1068570 2137140