Search a number
-
+
1129869825 = 352723137683
BaseRepresentation
bin100001101011000…
…0111001000000001
32220202001100000120
41003112013020001
54303221313300
6304041010453
736666510060
oct10326071001
92822040016
101129869825
1152a866a17
12276483a29
1315010b636
14aa0b61d7
15692d63a0
hex43587201

1129869825 has 96 divisors (see below), whose sum is σ = 2247284736. Its totient is φ = 489730560.

The previous prime is 1129869781. The next prime is 1129869833. The reversal of 1129869825 is 5289689211.

It is not a de Polignac number, because 1129869825 - 26 = 1129869761 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1653934 + ... + 1654616.

It is an arithmetic number, because the mean of its divisors is an integer number (23409216).

Almost surely, 21129869825 is an apocalyptic number.

1129869825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1129869825 is a deficient number, since it is larger than the sum of its proper divisors (1117414911).

1129869825 is a wasteful number, since it uses less digits than its factorization.

1129869825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 858 counting only the distinct ones).

The product of its digits is 622080, while the sum is 51.

The square root of 1129869825 is about 33613.5363358276. The cubic root of 1129869825 is about 1041.5404393891.

The spelling of 1129869825 in words is "one billion, one hundred twenty-nine million, eight hundred sixty-nine thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 15 21 23 25 35 69 75 105 115 137 161 175 345 411 483 525 575 683 685 805 959 1725 2049 2055 2415 2877 3151 3415 3425 4025 4781 4795 9453 10245 10275 12075 14343 14385 15709 15755 17075 22057 23905 23975 47127 47265 51225 66171 71715 71925 78545 78775 93571 109963 110285 119525 235635 236325 280713 329889 330855 358575 392725 467855 549815 551425 654997 1178175 1403565 1649445 1654275 1964991 2152133 2339275 2749075 3274985 6456399 7017825 8247225 9824955 10760665 15064931 16374925 32281995 45194793 49124775 53803325 75324655 161409975 225973965 376623275 1129869825