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1130200864 = 251319236217
BaseRepresentation
bin100001101011101…
…0111111100100000
32220202200011010021
41003113113330200
54303312411424
6304052043224
740002356152
oct10327277440
92822604107
101130200864
1152aa72701
12276603514
131501c6210
14aa160ad2
156934e4e4
hex435d7f20

1130200864 has 96 divisors (see below), whose sum is σ = 2632452480. Its totient is φ = 472614912.

The previous prime is 1130200837. The next prime is 1130200871. The reversal of 1130200864 is 4680020311.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178684 + ... + 184900.

It is an arithmetic number, because the mean of its divisors is an integer number (27421380).

Almost surely, 21130200864 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 1130200864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316226240).

1130200864 is an abundant number, since it is smaller than the sum of its proper divisors (1502251616).

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

1130200864 is a wasteful number, since it uses less digits than its factorization.

1130200864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6282 (or 6274 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1130200864 is about 33618.4601669975. The cubic root of 1130200864 is about 1041.6421492882.

The spelling of 1130200864 in words is "one billion, one hundred thirty million, two hundred thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 19 23 26 32 38 46 52 76 92 104 152 184 208 247 299 304 368 416 437 494 598 608 736 874 988 1196 1748 1976 2392 3496 3952 4784 5681 6217 6992 7904 9568 11362 12434 13984 22724 24868 45448 49736 80821 90896 99472 118123 142991 161642 181792 198944 236246 285982 323284 472492 571964 646568 944984 1143928 1293136 1535599 1858883 1889968 2287856 2586272 2716829 3071198 3717766 3779936 4575712 5433658 6142396 7435532 10867316 12284792 14871064 21734632 24569584 29742128 35318777 43469264 49139168 59484256 70637554 86938528 141275108 282550216 565100432 1130200864