Search a number
-
+
10504202380 = 2257673373323
BaseRepresentation
bin10011100100001100…
…10110100010001100
31000010001111202202121
421302012112202030
5133003033434010
64454153302324
7521206150510
oct116206264214
930101452677
1010504202380
1145003917a1
122051a049a4
13cb52b4289
147190d0140
154172a63da
hex27219688c

10504202380 has 96 divisors (see below), whose sum is σ = 25670002176. Its totient is φ = 3536096256.

The previous prime is 10504202353. The next prime is 10504202389. The reversal of 10504202380 is 8320240501.

It is a super-2 number, since 2×105042023802 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10504202389) 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, 3159399 + ... + 3162721.

It is an arithmetic number, because the mean of its divisors is an integer number (267395856).

Almost surely, 210504202380 is an apocalyptic number.

10504202380 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 10504202380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12835001088).

10504202380 is an abundant number, since it is smaller than the sum of its proper divisors (15165799796).

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

10504202380 is a wasteful number, since it uses less digits than its factorization.

10504202380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743 (or 3741 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 10504202380 its reverse (8320240501), we get a palindrome (18824442881).

The spelling of 10504202380 in words is "ten billion, five hundred four million, two hundred two thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 337 469 670 674 938 1340 1348 1685 1876 2345 2359 3323 3370 4690 4718 6646 6740 9380 9436 11795 13292 16615 22579 23261 23590 33230 45158 46522 47180 66460 90316 93044 112895 116305 158053 222641 225790 232610 316106 445282 451580 465220 632212 790265 890564 1113205 1119851 1558487 1580530 2226410 2239702 3116974 3161060 4452820 4479404 5599255 6233948 7792435 7838957 11198510 15584870 15677914 22397020 31169740 31355828 39194785 75030017 78389570 150060034 156779140 300120068 375150085 525210119 750300170 1050420238 1500600340 2100840476 2626050595 5252101190 10504202380