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2121240 = 2335111607
BaseRepresentation
bin1000000101111000011000
310222202210110
420011320120
51020334430
6113244320
724013242
oct10057030
93882713
102121240
1112197a0
128636a0
13593694
143d3092
152bd7b0
hex205e18

2121240 has 64 divisors (see below), whose sum is σ = 6946560. Its totient is φ = 513920.

The previous prime is 2121239. The next prime is 2121241. The reversal of 2121240 is 421212.

It is an interprime number because it is at equal distance from previous prime (2121239) and next prime (2121241).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121241) 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, 517 + ... + 2123.

It is an arithmetic number, because the mean of its divisors is an integer number (108540).

22121240 is an apocalyptic number.

2121240 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 2121240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473280).

2121240 is an abundant number, since it is smaller than the sum of its proper divisors (4825320).

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

2121240 is a wasteful number, since it uses less digits than its factorization.

2121240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2121240 is about 1456.4477333567. The cubic root of 2121240 is about 128.4882071672.

Adding to 2121240 its reverse (421212), we get a palindrome (2542452).

It can be divided in two parts, 21 and 21240, that multiplied together give a triangular number (446040 = T944).

The spelling of 2121240 in words is "two million, one hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1607 3214 4821 6428 8035 9642 12856 16070 17677 19284 24105 32140 35354 38568 48210 53031 64280 70708 88385 96420 106062 141416 176770 192840 212124 265155 353540 424248 530310 707080 1060620 2121240