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2153629060 = 22511101103941
BaseRepresentation
bin1000000001011101…
…1100010110000100
312120002102200200021
42000113130112010
513402312112220
6553411424524
7104240354632
oct20027342604
95502380607
102153629060
11a05738430
125012b5144
1328424702b
1416604a352
15c910c4aa
hex805dc584

2153629060 has 96 divisors (see below), whose sum is σ = 5036338944. Its totient is φ = 767040000.

The previous prime is 2153629057. The next prime is 2153629061. The reversal of 2153629060 is 609263512.

It is not an unprimeable number, because it can be changed into a prime (2153629061) 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, 2288190 + ... + 2289130.

It is an arithmetic number, because the mean of its divisors is an integer number (52461864).

Almost surely, 22153629060 is an apocalyptic number.

2153629060 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 2153629060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518169472).

2153629060 is an abundant number, since it is smaller than the sum of its proper divisors (2882709884).

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

2153629060 is a wasteful number, since it uses less digits than its factorization.

2153629060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 2153629060 is about 46407.2091382363. The cubic root of 2153629060 is about 1291.3886574389.

It can be divided in two parts, 215362 and 9060, that added together give a palindrome (224422).

The spelling of 2153629060 in words is "two billion, one hundred fifty-three million, six hundred twenty-nine thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 103 110 202 206 220 404 412 505 515 941 1010 1030 1111 1133 1882 2020 2060 2222 2266 3764 4444 4532 4705 5555 5665 9410 10351 10403 11110 11330 18820 20702 20806 22220 22660 41404 41612 51755 52015 95041 96923 103510 104030 114433 190082 193846 207020 208060 228866 380164 387692 457732 475205 484615 572165 950410 969230 1045451 1066153 1144330 1900820 1938460 2090902 2132306 2288660 4181804 4264612 5227255 5330765 9789223 10454510 10661530 19578446 20909020 21323060 39156892 48946115 97892230 107681453 195784460 215362906 430725812 538407265 1076814530 2153629060