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2134620 = 223355967
BaseRepresentation
bin1000001001001001011100
311000110011000
420021021130
51021301440
6113430300
724100245
oct10111134
94013130
102134620
111228854
1286b390
135997b7
143d7ccc
152c2730
hex20925c

2134620 has 96 divisors (see below), whose sum is σ = 6854400. Its totient is φ = 551232.

The previous prime is 2134609. The next prime is 2134621. The reversal of 2134620 is 264312.

It is a happy number.

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 2134593 and 2134602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31827 + ... + 31893.

It is an arithmetic number, because the mean of its divisors is an integer number (71400).

22134620 is an apocalyptic number.

2134620 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 2134620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427200).

2134620 is an abundant number, since it is smaller than the sum of its proper divisors (4719780).

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

2134620 is a wasteful number, since it uses less digits than its factorization.

2134620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2134620 is about 1461.0338805106. The cubic root of 2134620 is about 128.7577932254.

Adding to 2134620 its reverse (264312), we get a palindrome (2398932).

The spelling of 2134620 in words is "two million, one hundred thirty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 67 90 108 118 134 135 177 180 201 236 268 270 295 335 354 402 531 540 590 603 670 708 804 885 1005 1062 1180 1206 1340 1593 1770 1809 2010 2124 2412 2655 3015 3186 3540 3618 3953 4020 5310 6030 6372 7236 7906 7965 9045 10620 11859 12060 15812 15930 18090 19765 23718 31860 35577 36180 39530 47436 59295 71154 79060 106731 118590 142308 177885 213462 237180 355770 426924 533655 711540 1067310 2134620