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1052405130 = 235731715809
BaseRepresentation
bin111110101110100…
…110110110001010
32201100021201102210
4332232212312022
54123403431010
6252232405550
735036203350
oct7656466612
92640251383
101052405130
114a0067607
122545468b6
1313a05823a
149daad7d0
15625d3b20
hex3eba6d8a

1052405130 has 64 divisors (see below), whose sum is σ = 2895886080. Its totient is φ = 239775744.

The previous prime is 1052405129. The next prime is 1052405141. The reversal of 1052405130 is 315042501.

It is a super-2 number, since 2×10524051302 = 2215113115300633800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1052405097 and 1052405106.

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, 58666 + ... + 74474.

It is an arithmetic number, because the mean of its divisors is an integer number (45248220).

Almost surely, 21052405130 is an apocalyptic number.

1052405130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052405130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447943040).

1052405130 is an abundant number, since it is smaller than the sum of its proper divisors (1843480950).

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

1052405130 is a wasteful number, since it uses less digits than its factorization.

1052405130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16143.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1052405130 is about 32440.7942257892. The cubic root of 1052405130 is about 1017.1718175241.

Adding to 1052405130 its reverse (315042501), we get a palindrome (1367447631).

The spelling of 1052405130 in words is "one billion, fifty-two million, four hundred five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 317 634 951 1585 1902 2219 3170 4438 4755 6657 9510 11095 13314 15809 22190 31618 33285 47427 66570 79045 94854 110663 158090 221326 237135 331989 474270 553315 663978 1106630 1659945 3319890 5011453 10022906 15034359 25057265 30068718 35080171 50114530 70160342 75171795 105240513 150343590 175400855 210481026 350801710 526202565 1052405130