Search a number
-
+
10452053000 = 235331437841
BaseRepresentation
bin10011011101111110…
…11010110000001000
3222222102101022021002
421232333122300020
5132401211144000
64445051434132
7520003661504
oct115677326010
928872338232
1010452053000
114483a03134
122038455948
13ca755575c
147121d7304
154129048d5
hex26efdac08

10452053000 has 128 divisors (see below), whose sum is σ = 25837194240. Its totient is φ = 3951360000.

The previous prime is 10452052979. The next prime is 10452053011. The reversal of 10452053000 is 35025401.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1329080 + ... + 1336920.

It is an arithmetic number, because the mean of its divisors is an integer number (201853080).

Almost surely, 210452053000 is an apocalyptic number.

10452053000 is a gapful number since it is divisible by the number (10) 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 10452053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12918597120).

10452053000 is an abundant number, since it is smaller than the sum of its proper divisors (15385141240).

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

10452053000 is a wasteful number, since it uses less digits than its factorization.

10452053000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7936 (or 7922 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 10452053000 its reverse (35025401), we get a palindrome (10487078401).

The spelling of 10452053000 in words is "ten billion, four hundred fifty-two million, fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 43 50 62 86 100 124 125 155 172 200 215 248 250 310 344 430 500 620 775 860 1000 1075 1240 1333 1550 1720 2150 2666 3100 3875 4300 5332 5375 6200 6665 7750 7841 8600 10664 10750 13330 15500 15682 21500 26660 31000 31364 33325 39205 43000 53320 62728 66650 78410 133300 156820 166625 196025 243071 266600 313640 333250 337163 392050 486142 666500 674326 784100 972284 980125 1215355 1333000 1348652 1568200 1685815 1944568 1960250 2430710 2697304 3371630 3920500 4861420 6076775 6743260 7841000 8429075 9722840 10452053 12153550 13486520 16858150 20904106 24307100 30383875 33716300 41808212 42145375 48614200 52260265 60767750 67432600 83616424 84290750 104520530 121535500 168581500 209041060 243071000 261301325 337163000 418082120 522602650 1045205300 1306506625 2090410600 2613013250 5226026500 10452053000