Search a number
-
+
1017394290 = 233511509673
BaseRepresentation
bin111100101001000…
…011010001110010
32121220101222121000
4330221003101302
54040423104130
6244542142430
734132465053
oct7451032162
92556358530
101017394290
11482324430
12244881a16
13132a1a573
149919872a
155e4ba260
hex3ca43472

1017394290 has 128 divisors (see below), whose sum is σ = 2969913600. Its totient is φ = 245790720.

The previous prime is 1017394283. The next prime is 1017394331. The reversal of 1017394290 is 924937101.

It is a super-2 number, since 2×10173942902 = 2070182282649208200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1511394 + ... + 1512066.

It is an arithmetic number, because the mean of its divisors is an integer number (23202450).

Almost surely, 21017394290 is an apocalyptic number.

1017394290 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 1017394290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484956800).

1017394290 is an abundant number, since it is smaller than the sum of its proper divisors (1952519310).

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

1017394290 is a wasteful number, since it uses less digits than its factorization.

1017394290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1017394290 is about 31896.6187863228. The cubic root of 1017394290 is about 1005.7647998885.

The spelling of 1017394290 in words is "one billion, seventeen million, three hundred ninety-four thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 509 594 673 990 1018 1346 1485 1527 2019 2545 2970 3054 3365 4038 4581 5090 5599 6057 6730 7403 7635 9162 10095 11198 12114 13743 14806 15270 16797 18171 20190 22209 22905 27486 27995 30285 33594 36342 37015 44418 45810 50391 55990 60570 66627 68715 74030 83985 90855 100782 111045 133254 137430 151173 167970 181710 199881 222090 251955 302346 333135 342557 399762 503910 666270 685114 755865 999405 1027671 1511730 1712785 1998810 2055342 3083013 3425570 3768127 5138355 6166026 7536254 9249039 10276710 11304381 15415065 18498078 18840635 22608762 30830130 33913143 37681270 46245195 56521905 67826286 92490390 101739429 113043810 169565715 203478858 339131430 508697145 1017394290