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1130008352 = 2511343617
BaseRepresentation
bin100001101011010…
…1000111100100000
32220202022101001012
41003112220330200
54303240231402
6304044000052
740000624664
oct10326507440
92822271035
101130008352
1152a951000
12276530028
131501596c5
14aa1108a4
1569312452
hex435a8f20

1130008352 has 96 divisors (see below), whose sum is σ = 2507972544. Its totient is φ = 500881920.

The previous prime is 1130008333. The next prime is 1130008393. The reversal of 1130008352 is 2538000311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1831148 + ... + 1831764.

It is an arithmetic number, because the mean of its divisors is an integer number (26124714).

Almost surely, 21130008352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130008352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253986272).

1130008352 is an abundant number, since it is smaller than the sum of its proper divisors (1377964192).

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

1130008352 is an equidigital number, since it uses as much as digits as its factorization.

1130008352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1130008352 is about 33615.5968562214. The cubic root of 1130008352 is about 1041.5830034595.

Adding to 1130008352 its reverse (2538000311), we get a palindrome (3668008663).

The spelling of 1130008352 in words is "one billion, one hundred thirty million, eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 121 172 176 242 344 352 473 484 617 688 946 968 1234 1331 1376 1892 1936 2468 2662 3784 3872 4936 5203 5324 6787 7568 9872 10406 10648 13574 15136 19744 20812 21296 26531 27148 41624 42592 53062 54296 57233 74657 83248 106124 108592 114466 149314 166496 212248 217184 228932 291841 298628 424496 457864 583682 597256 821227 848992 915728 1167364 1194512 1642454 1831456 2334728 2389024 3210251 3284908 4669456 6420502 6569816 9338912 12841004 13139632 25682008 26279264 35312761 51364016 70625522 102728032 141251044 282502088 565004176 1130008352