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1017139060 = 22573672213
BaseRepresentation
bin111100101000000…
…100111101110100
32121212221000111001
4330220010331310
54040341422220
6244532453044
734130353000
oct7450047564
92555830431
101017139060
1148216a6a3
1224477a184
1313295b342
149912d700
155e46980a
hex3ca04f74

1017139060 has 96 divisors (see below), whose sum is σ = 2529273600. Its totient is φ = 343373184.

The previous prime is 1017139043. The next prime is 1017139061. The reversal of 1017139060 is 609317101.

1017139060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1017139061) 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, 458514 + ... + 460726.

It is an arithmetic number, because the mean of its divisors is an integer number (26346600).

Almost surely, 21017139060 is an apocalyptic number.

1017139060 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 1017139060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264636800).

1017139060 is an abundant number, since it is smaller than the sum of its proper divisors (1512134540).

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

1017139060 is a wasteful number, since it uses less digits than its factorization.

1017139060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 1017139060 is about 31892.6176410780. The cubic root of 1017139060 is about 1005.6806886705.

The spelling of 1017139060 in words is "one billion, seventeen million, one hundred thirty-nine thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 67 70 98 134 140 196 245 268 335 343 469 490 670 686 938 980 1340 1372 1715 1876 2213 2345 3283 3430 4426 4690 6566 6860 8852 9380 11065 13132 15491 16415 22130 22981 30982 32830 44260 45962 61964 65660 77455 91924 108437 114905 148271 154910 216874 229810 296542 309820 433748 459620 542185 593084 741355 759059 1037897 1084370 1482710 1518118 2075794 2168740 2965420 3036236 3795295 4151588 5189485 7265279 7590590 10378970 14530558 15181180 20757940 29061116 36326395 50856953 72652790 101713906 145305580 203427812 254284765 508569530 1017139060