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289675920 = 24351770999
BaseRepresentation
bin10001010001000…
…001101010010000
3202012002001122210
4101101001222100
51043124112140
644424432120
710115130132
oct2121015220
9665061583
10289675920
11139572896
1281018640
1348024891
142a687052
151a66ed80
hex11441a90

289675920 has 80 divisors (see below), whose sum is σ = 950832000. Its totient is φ = 72701952.

The previous prime is 289675913. The next prime is 289675927. The reversal of 289675920 is 29576982.

It is an interprime number because it is at equal distance from previous prime (289675913) and next prime (289675927).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 289675920.

It is not an unprimeable number, because it can be changed into a prime (289675927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31420 + ... + 39579.

It is an arithmetic number, because the mean of its divisors is an integer number (11885400).

Almost surely, 2289675920 is an apocalyptic number.

289675920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289675920 is an abundant number, since it is smaller than the sum of its proper divisors (661156080).

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

289675920 is a wasteful number, since it uses less digits than its factorization.

289675920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71032 (or 71026 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 289675920 is about 17019.8683896204. The cubic root of 289675920 is about 661.6639373978.

The spelling of 289675920 in words is "two hundred eighty-nine million, six hundred seventy-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 70999 141998 212997 283996 354995 425994 567992 709990 851988 1064985 1135984 1206983 1419980 1703976 2129970 2413966 2839960 3407952 3620949 4259940 4827932 5679920 6034915 7241898 8519880 9655864 12069830 14483796 17039760 18104745 19311728 24139660 28967592 36209490 48279320 57935184 72418980 96558640 144837960 289675920