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1338108590 = 2571317671291
BaseRepresentation
bin100111111000001…
…1110101010101110
310110020212221220102
41033300132222232
510220023433330
6340440151102
745105510140
oct11760365256
93406787812
101338108590
11627366875
12314168492
131842bb940
14c9a00c90
157c71b945
hex4fc1eaae

1338108590 has 128 divisors (see below), whose sum is σ = 3188118528. Its totient is φ = 392325120.

The previous prime is 1338108553. The next prime is 1338108599. The reversal of 1338108590 is 958018331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338108599) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1035845 + ... + 1037135.

It is an arithmetic number, because the mean of its divisors is an integer number (24907176).

Almost surely, 21338108590 is an apocalyptic number.

1338108590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1338108590 is an abundant number, since it is smaller than the sum of its proper divisors (1850009938).

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

1338108590 is a wasteful number, since it uses less digits than its factorization.

1338108590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402.

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 1338108590 is about 36580.1666207250. The cubic root of 1338108590 is about 1101.9548132938.

The spelling of 1338108590 in words is "one billion, three hundred thirty-eight million, one hundred eight thousand, five hundred ninety".

Divisors: 1 2 5 7 10 13 14 17 26 34 35 65 67 70 85 91 119 130 134 170 182 221 238 335 442 455 469 595 670 871 910 938 1105 1139 1190 1291 1547 1742 2210 2278 2345 2582 3094 4355 4690 5695 6097 6455 7735 7973 8710 9037 11390 12194 12910 14807 15470 15946 16783 18074 21947 29614 30485 33566 39865 43894 45185 60970 74035 79730 83915 86497 90370 103649 109735 117481 148070 153629 167830 172994 207298 219470 234962 285311 307258 432485 518245 570622 587405 605479 768145 864970 1036490 1124461 1174810 1210958 1426555 1470449 1536290 1997177 2248922 2853110 2940898 3027395 3994354 5622305 6054790 7352245 7871227 9985885 10293143 11244610 14704490 15742454 19115837 19971770 20586286 38231674 39356135 51465715 78712270 95579185 102931430 133810859 191158370 267621718 669054295 1338108590