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2602045020 = 2235478311117
BaseRepresentation
bin1001101100011000…
…0000111001011100
320201100012120201210
42123012000321130
520312110420040
61110110504420
7121324006041
oct23306007134
96640176653
102602045020
111115871a33
12607505110
1332610aa13
141a98151c8
15103686480
hex9b180e5c

2602045020 has 96 divisors (see below), whose sum is σ = 7531066368. Its totient is φ = 670872832.

The previous prime is 2602045013. The next prime is 2602045021. The reversal of 2602045020 is 205402062.

It is a super-2 number, since 2×26020450202 = 13541276572213600800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2602045021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228502 + ... + 239618.

It is an arithmetic number, because the mean of its divisors is an integer number (78448608).

Almost surely, 22602045020 is an apocalyptic number.

2602045020 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 2602045020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765533184).

2602045020 is an abundant number, since it is smaller than the sum of its proper divisors (4929021348).

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

2602045020 is a wasteful number, since it uses less digits than its factorization.

2602045020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11259 (or 11257 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2602045020 is about 51010.2442652454. The cubic root of 2602045020 is about 1375.4292909702.

Adding to 2602045020 its reverse (205402062), we get a palindrome (2807447082).

The spelling of 2602045020 in words is "two billion, six hundred two million, forty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 83 94 141 166 188 235 249 282 332 415 470 498 564 705 830 940 996 1245 1410 1660 2490 2820 3901 4980 7802 11117 11703 15604 19505 22234 23406 33351 39010 44468 46812 55585 58515 66702 78020 111170 117030 133404 166755 222340 234060 333510 522499 667020 922711 1044998 1567497 1845422 2089996 2612495 2768133 3134994 3690844 4613555 5224990 5536266 6269988 7837485 9227110 10449980 11072532 13840665 15674970 18454220 27681330 31349940 43367417 55362660 86734834 130102251 173469668 216837085 260204502 433674170 520409004 650511255 867348340 1301022510 2602045020