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1123625640 = 2335199211223
BaseRepresentation
bin100001011111001…
…0010101010101000
32220022022002121110
41002332102222220
54300122010030
6303255110320
736562442334
oct10276225250
92808262543
101123625640
11527291635
122743723a0
1314ba33457
14a932c7c4
15689a11b0
hex42f92aa8

1123625640 has 128 divisors (see below), whose sum is σ = 3419136000. Its totient is φ = 295384320.

The previous prime is 1123625603. The next prime is 1123625641. The reversal of 1123625640 is 465263211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1123625598 and 1123625607.

It is not an unprimeable number, because it can be changed into a prime (1123625641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5038569 + ... + 5038791.

It is an arithmetic number, because the mean of its divisors is an integer number (26712000).

Almost surely, 21123625640 is an apocalyptic number.

1123625640 is a gapful number since it is divisible by the number (10) 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 1123625640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709568000).

1123625640 is an abundant number, since it is smaller than the sum of its proper divisors (2295510360).

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

1123625640 is a wasteful number, since it uses less digits than its factorization.

1123625640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1123625640 is about 33520.5256522030. The cubic root of 1123625640 is about 1039.6182153865.

Adding to 1123625640 its reverse (465263211), we get a palindrome (1588888851).

The spelling of 1123625640 in words is "one billion, one hundred twenty-three million, six hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 211 223 398 422 446 597 633 669 796 844 892 995 1055 1115 1194 1266 1338 1592 1688 1784 1990 2110 2230 2388 2532 2676 2985 3165 3345 3980 4220 4460 4776 5064 5352 5970 6330 6690 7960 8440 8920 11940 12660 13380 23880 25320 26760 41989 44377 47053 83978 88754 94106 125967 133131 141159 167956 177508 188212 209945 221885 235265 251934 266262 282318 335912 355016 376424 419890 443770 470530 503868 532524 564636 629835 665655 705795 839780 887540 941060 1007736 1065048 1129272 1259670 1331310 1411590 1679560 1775080 1882120 2519340 2662620 2823180 5038680 5325240 5646360 9363547 18727094 28090641 37454188 46817735 56181282 74908376 93635470 112362564 140453205 187270940 224725128 280906410 374541880 561812820 1123625640