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2402260060 = 2251923110733
BaseRepresentation
bin1000111100101111…
…1001010001011100
320012102021110021211
42033023321101130
514404434310220
61034212434204
7113346605434
oct21713712134
96172243254
102402260060
1110230165a2
12570618964
132c38ca575
1418b08b2c4
15e0d70b5a
hex8f2f945c

2402260060 has 72 divisors (see below), whose sum is σ = 5496494976. Its totient is φ = 880882560.

The previous prime is 2402260051. The next prime is 2402260067. The reversal of 2402260060 is 600622042.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2402260067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218454 + ... + 229186.

It is an arithmetic number, because the mean of its divisors is an integer number (76340208).

Almost surely, 22402260060 is an apocalyptic number.

2402260060 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 2402260060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748247488).

2402260060 is an abundant number, since it is smaller than the sum of its proper divisors (3094234916).

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

2402260060 is a wasteful number, since it uses less digits than its factorization.

2402260060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10811 (or 10790 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2402260060 is about 49012.8560685867. The cubic root of 2402260060 is about 1339.2860345999.

The spelling of 2402260060 in words is "two billion, four hundred two million, two hundred sixty thousand, sixty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 361 380 589 620 722 1178 1444 1805 2356 2945 3610 5890 7220 10733 11191 11780 21466 22382 42932 44764 53665 55955 107330 111910 203927 214660 223820 332723 407854 665446 815708 1019635 1330892 1663615 2039270 3327230 3874613 4078540 6321737 6654460 7749226 12643474 15498452 19373065 25286948 31608685 38746130 63217370 77492260 120113003 126434740 240226006 480452012 600565015 1201130030 2402260060