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1123551072 = 253271095113
BaseRepresentation
bin100001011111000…
…0000011101100000
32220022011022022200
41002332000131200
54300112113242
6303253333200
736562012050
oct10276003540
92808138280
101123551072
11527240606
12274337200
1314ba08527
14a930d560
156898904c
hex42f80760

1123551072 has 144 divisors (see below), whose sum is σ = 3685762080. Its totient is φ = 318007296.

The previous prime is 1123551067. The next prime is 1123551119. The reversal of 1123551072 is 2701553211.

1123551072 is a `hidden beast` number, since 112 + 35 + 510 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×11235510722 = 2524734022784698368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217188 + ... + 222300.

It is an arithmetic number, because the mean of its divisors is an integer number (25595570).

Almost surely, 21123551072 is an apocalyptic number.

1123551072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123551072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842881040).

1123551072 is an abundant number, since it is smaller than the sum of its proper divisors (2562211008).

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

1123551072 is a wasteful number, since it uses less digits than its factorization.

1123551072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5245 (or 5234 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 1123551072 is about 33519.4133600217. The cubic root of 1123551072 is about 1039.5952172267.

The spelling of 1123551072 in words is "one billion, one hundred twenty-three million, five hundred fifty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 109 112 126 144 168 218 224 252 288 327 336 436 504 654 672 763 872 981 1008 1308 1526 1744 1962 2016 2289 2616 3052 3488 3924 4578 5113 5232 6104 6867 7848 9156 10226 10464 12208 13734 15339 15696 18312 20452 24416 27468 30678 31392 35791 36624 40904 46017 54936 61356 71582 73248 81808 92034 107373 109872 122712 143164 163616 184068 214746 219744 245424 286328 322119 368136 429492 490848 557317 572656 644238 736272 858984 1114634 1145312 1288476 1472544 1671951 1717968 2229268 2576952 3343902 3435936 3901219 4458536 5015853 5153904 6687804 7802438 8917072 10031706 10307808 11703657 13375608 15604876 17834144 20063412 23407314 26751216 31209752 35110971 40126824 46814628 53502432 62419504 70221942 80253648 93629256 124839008 140443884 160507296 187258512 280887768 374517024 561775536 1123551072