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1240752030 = 235724631823
BaseRepresentation
bin100100111110100…
…0101111110011110
310012110200201210220
41021331011332132
510020113031110
6323041342210
742514134600
oct11175057636
93173621726
101240752030
11587410401
122a7637966
1316a0923cb
14baadb170
1573dda370
hex49f45f9e

1240752030 has 96 divisors (see below), whose sum is σ = 3473362944. Its totient is φ = 282832704.

The previous prime is 1240752011. The next prime is 1240752047. The reversal of 1240752030 is 302570421.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 679699 + ... + 681521.

It is an arithmetic number, because the mean of its divisors is an integer number (36180864).

Almost surely, 21240752030 is an apocalyptic number.

1240752030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1240752030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736681472).

1240752030 is an abundant number, since it is smaller than the sum of its proper divisors (2232610914).

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

1240752030 is a wasteful number, since it uses less digits than its factorization.

1240752030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 1240752030 is about 35224.3102132604. The cubic root of 1240752030 is about 1074.5542135781.

The spelling of 1240752030 in words is "one billion, two hundred forty million, seven hundred fifty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 463 490 735 926 1389 1470 1823 2315 2778 3241 3646 4630 5469 6482 6945 9115 9723 10938 12761 13890 16205 18230 19446 22687 25522 27345 32410 38283 45374 48615 54690 63805 68061 76566 89327 97230 113435 127610 136122 178654 191415 226870 267981 340305 382830 446635 535962 680610 844049 893270 1339905 1688098 2532147 2679810 4220245 5064294 5908343 8440490 11816686 12660735 17725029 25321470 29541715 35450058 41358401 59083430 82716802 88625145 124075203 177250290 206792005 248150406 413584010 620376015 1240752030