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1123057440 = 25335259967
BaseRepresentation
bin100001011110000…
…0111111100100000
32220021020020012000
41002330013330200
54300000314230
6303235004000
736554554641
oct10274077440
92807206160
101123057440
11526a3374a
12274139600
1314b89493b
14a92216c8
15688dcb60
hex42f07f20

1123057440 has 96 divisors (see below), whose sum is σ = 3930716160. Its totient is φ = 299480832.

The previous prime is 1123057423. The next prime is 1123057457. The reversal of 1123057440 is 447503211.

It is an interprime number because it is at equal distance from previous prime (1123057423) and next prime (1123057457).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11230574402 = 2522516027078707200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 125664 + ... + 134303.

It is an arithmetic number, because the mean of its divisors is an integer number (40944960).

Almost surely, 21123057440 is an apocalyptic number.

1123057440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123057440 is an abundant number, since it is smaller than the sum of its proper divisors (2807658720).

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

1123057440 is a wasteful number, since it uses less digits than its factorization.

1123057440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259991 (or 259977 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1123057440 is about 33512.0491763783. The cubic root of 1123057440 is about 1039.4429462553.

The spelling of 1123057440 in words is "one billion, one hundred twenty-three million, fifty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 259967 519934 779901 1039868 1299835 1559802 2079736 2339703 2599670 3119604 3899505 4159472 4679406 5199340 6239208 7019109 7799010 8318944 9358812 10398680 11698515 12478416 14038218 15598020 18717624 20797360 23397030 24956832 28076436 31196040 35095545 37435248 41594720 46794060 56152872 62392080 70191090 74870496 93588120 112305744 124784160 140382180 187176240 224611488 280764360 374352480 561528720 1123057440