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2053641060 = 223354338783
BaseRepresentation
bin111101001101000…
…0001001101100100
312022010021202221000
41322122001031210
513201213003220
6535440353300
7101614442502
oct17232011544
95263252830
102053641060
11964254a19
12493915830
13269608b33
14156a5d672
15c045b390
hex7a681364

2053641060 has 96 divisors (see below), whose sum is σ = 6404590080. Its totient is φ = 546310656.

The previous prime is 2053641017. The next prime is 2053641127. The reversal of 2053641060 is 601463502.

2053641060 is a `hidden beast` number, since 20 + 536 + 4 + 106 + 0 = 666.

It is a super-3 number, since 3×20536410603 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229429 + ... + 238211.

It is an arithmetic number, because the mean of its divisors is an integer number (66714480).

Almost surely, 22053641060 is an apocalyptic number.

2053641060 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 2053641060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202295040).

2053641060 is an abundant number, since it is smaller than the sum of its proper divisors (4350949020).

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

2053641060 is a wasteful number, since it uses less digits than its factorization.

2053641060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9234 (or 9226 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2053641060 is about 45317.1166337842. The cubic root of 2053641060 is about 1271.0857394295.

The spelling of 2053641060 in words is "two billion, fifty-three million, six hundred forty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 433 540 866 1299 1732 2165 2598 3897 4330 5196 6495 7794 8660 8783 11691 12990 15588 17566 19485 23382 25980 26349 35132 38970 43915 46764 52698 58455 77940 79047 87830 105396 116910 131745 158094 175660 233820 237141 263490 316188 395235 474282 526980 790470 948564 1185705 1580940 2371410 3803039 4742820 7606078 11409117 15212156 19015195 22818234 34227351 38030390 45636468 57045585 68454702 76060780 102682053 114091170 136909404 171136755 205364106 228182340 342273510 410728212 513410265 684547020 1026820530 2053641060