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2127420 = 2232553223
BaseRepresentation
bin1000000111011000111100
311000002021100
420013120330
51021034140
6113333100
724040251
oct10073074
94002240
102127420
1112233a9
12867190
13596439
143d5428
152c0530
hex20763c

2127420 has 72 divisors (see below), whose sum is σ = 6604416. Its totient is φ = 554112.

The previous prime is 2127409. The next prime is 2127421. The reversal of 2127420 is 247212.

2127420 = T145 + T146 + ... + T250.

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

It is a junction number, because it is equal to n+sod(n) for n = 2127393 and 2127402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2127421) 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, 9429 + ... + 9651.

It is an arithmetic number, because the mean of its divisors is an integer number (91728).

22127420 is an apocalyptic number.

2127420 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 2127420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208).

2127420 is an abundant number, since it is smaller than the sum of its proper divisors (4476996).

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

2127420 is a wasteful number, since it uses less digits than its factorization.

2127420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 286 counting only the distinct ones).

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

The square root of 2127420 is about 1458.5677906769. The cubic root of 2127420 is about 128.6128649512.

The spelling of 2127420 in words is "two million, one hundred twenty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 223 265 318 446 477 530 636 669 795 892 954 1060 1115 1338 1590 1908 2007 2230 2385 2676 3180 3345 4014 4460 4770 6690 8028 9540 10035 11819 13380 20070 23638 35457 40140 47276 59095 70914 106371 118190 141828 177285 212742 236380 354570 425484 531855 709140 1063710 2127420