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2121020 = 2251131311
BaseRepresentation
bin1000000101110100111100
310222202111022
420011310330
51020333040
6113243312
724012506
oct10056474
93882438
102121020
111219610
12863538
13593555
143d2d76
152bd6b5
hex205d3c

2121020 has 48 divisors (see below), whose sum is σ = 5031936. Its totient is φ = 744000.

The previous prime is 2121017. The next prime is 2121023. The reversal of 2121020 is 201212.

It is an interprime number because it is at equal distance from previous prime (2121017) and next prime (2121023).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2120989 and 2121007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6665 + ... + 6975.

It is an arithmetic number, because the mean of its divisors is an integer number (104832).

22121020 is an apocalyptic number.

2121020 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 2121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515968).

2121020 is an abundant number, since it is smaller than the sum of its proper divisors (2910916).

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

2121020 is a wasteful number, since it uses less digits than its factorization.

2121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2121020 is about 1456.3722051728. The cubic root of 2121020 is about 128.4837650511.

Adding to 2121020 its reverse (201212), we get a palindrome (2322232).

The spelling of 2121020 in words is "two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 311 341 620 622 682 1244 1364 1555 1705 3110 3410 3421 6220 6820 6842 9641 13684 17105 19282 34210 38564 48205 68420 96410 106051 192820 212102 424204 530255 1060510 2121020