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2042541220 = 2252313732411
BaseRepresentation
bin111100110111110…
…1011010010100100
312021100101211210211
41321233223102210
513140342304340
6534402425204
7101421212446
oct17157532244
95240354724
102042541220
11958a634a5
12490062204
13267220795
141553b0496
15be4b75ea
hex79beb4a4

2042541220 has 48 divisors (see below), whose sum is σ = 4508638848. Its totient is φ = 775765760.

The previous prime is 2042541217. The next prime is 2042541251. The reversal of 2042541220 is 221452402.

It is a junction number, because it is equal to n+sod(n) for n = 2042541191 and 2042541200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46815 + ... + 79225.

It is an arithmetic number, because the mean of its divisors is an integer number (93929976).

Almost surely, 22042541220 is an apocalyptic number.

2042541220 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 2042541220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254319424).

2042541220 is an abundant number, since it is smaller than the sum of its proper divisors (2466097628).

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

2042541220 is a wasteful number, since it uses less digits than its factorization.

2042541220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32580 (or 32578 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 2042541220 is about 45194.4821853288. The cubic root of 2042541220 is about 1268.7915468611.

Adding to 2042541220 its reverse (221452402), we get a palindrome (2263993622).

The spelling of 2042541220 in words is "two billion, forty-two million, five hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 137 230 274 460 548 685 1370 2740 3151 6302 12604 15755 31510 32411 63020 64822 129644 162055 324110 648220 745453 1490906 2981812 3727265 4440307 7454530 8880614 14909060 17761228 22201535 44403070 88806140 102127061 204254122 408508244 510635305 1021270610 2042541220