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1230062540 = 225717232977
BaseRepresentation
bin100100101010001…
…0100001111001100
310011201120122120212
41021110110033030
510004344000130
6322020301552
742324234110
oct11124241714
93151518525
101230062540
1158137a213
122a3b418b8
13167abba75
14b9517740
1572ec7e95
hex495143cc

1230062540 has 144 divisors (see below), whose sum is σ = 3270964032. Its totient is φ = 379281408.

The previous prime is 1230062539. The next prime is 1230062549. The reversal of 1230062540 is 452600321.

It is a super-2 number, since 2×12300625402 = 3026107704622503200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (1230062549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1258532 + ... + 1259508.

It is an arithmetic number, because the mean of its divisors is an integer number (22715028).

Almost surely, 21230062540 is an apocalyptic number.

1230062540 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 1230062540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635482016).

1230062540 is an abundant number, since it is smaller than the sum of its proper divisors (2040901492).

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

1230062540 is a wasteful number, since it uses less digits than its factorization.

1230062540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 1230062540 is about 35072.2474329775. The cubic root of 1230062540 is about 1071.4594287155.

Adding to 1230062540 its reverse (452600321), we get a palindrome (1682662861).

The spelling of 1230062540 in words is "one billion, two hundred thirty million, sixty-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 23 28 34 35 46 68 70 85 92 115 119 140 161 170 230 238 322 340 391 460 476 529 595 644 782 805 977 1058 1190 1564 1610 1954 1955 2116 2380 2645 2737 3220 3703 3908 3910 4885 5290 5474 6839 7406 7820 8993 9770 10580 10948 13678 13685 14812 16609 17986 18515 19540 22471 27356 27370 33218 34195 35972 37030 44942 44965 54740 62951 66436 68390 74060 83045 89884 89930 112355 116263 125902 136780 157297 166090 179860 224710 232526 251804 314594 314755 332180 382007 449420 465052 516833 581315 629188 629510 764014 786485 1033666 1162630 1259020 1528028 1572970 1910035 2067332 2325260 2584165 2674049 3145940 3617831 3820070 5168330 5348098 7235662 7640140 8786161 10336660 10696196 13370245 14471324 17572322 18089155 26740490 35144644 36178310 43930805 53480980 61503127 72356620 87861610 123006254 175723220 246012508 307515635 615031270 1230062540