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10071990 = 23251729227
BaseRepresentation
bin100110011010…
…111110110110
3200221201011200
4212122332312
510034300430
6555513330
7151416255
oct46327666
920851150
1010071990
11575a265
123458846
132118576
1414a279c
15d3e460
hex99afb6

10071990 has 96 divisors (see below), whose sum is σ = 28810080. Its totient is φ = 2429952.

The previous prime is 10071983. The next prime is 10071991. The reversal of 10071990 is 9917001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10071991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44257 + ... + 44483.

It is an arithmetic number, because the mean of its divisors is an integer number (300105).

Almost surely, 210071990 is an apocalyptic number.

10071990 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 10071990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14405040).

10071990 is an abundant number, since it is smaller than the sum of its proper divisors (18738090).

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

10071990 is a wasteful number, since it uses less digits than its factorization.

10071990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 27.

The square root of 10071990 is about 3173.6398661474. The cubic root of 10071990 is about 215.9592258427.

Adding to 10071990 its reverse (9917001), we get a palindrome (19988991).

The spelling of 10071990 in words is "ten million, seventy-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 29 30 34 45 51 58 85 87 90 102 145 153 170 174 227 255 261 290 306 435 454 493 510 522 681 765 870 986 1135 1305 1362 1479 1530 2043 2270 2465 2610 2958 3405 3859 4086 4437 4930 6583 6810 7395 7718 8874 10215 11577 13166 14790 19295 19749 20430 22185 23154 32915 34731 38590 39498 44370 57885 59247 65830 69462 98745 111911 115770 118494 173655 197490 223822 296235 335733 347310 559555 592470 671466 1007199 1119110 1678665 2014398 3357330 5035995 10071990