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90667290 = 235717109233
BaseRepresentation
bin1010110011101…
…11100100011010
320022121101010210
411121313210122
5141202323130
612555151550
72150442060
oct531674432
9208541123
1090667290
11471a774a
12264455b6
1315a268ac
14c082030
157e5e5b0
hex567791a

90667290 has 128 divisors (see below), whose sum is σ = 266872320. Its totient is φ = 19243008.

The previous prime is 90667271. The next prime is 90667301. The reversal of 90667290 is 9276609.

It is a Curzon number.

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, 389014 + ... + 389246.

It is an arithmetic number, because the mean of its divisors is an integer number (2084940).

Almost surely, 290667290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90667290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133436160).

90667290 is an abundant number, since it is smaller than the sum of its proper divisors (176205030).

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

90667290 is a wasteful number, since it uses less digits than its factorization.

90667290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376.

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 90667290 is about 9521.9373028812. The cubic root of 90667290 is about 449.2453029028.

The spelling of 90667290 in words is "ninety million, six hundred sixty-seven thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 109 119 170 210 218 233 238 255 327 357 466 510 545 595 654 699 714 763 1090 1165 1190 1398 1526 1631 1635 1785 1853 2289 2330 3262 3270 3495 3570 3706 3815 3961 4578 4893 5559 6990 7630 7922 8155 9265 9786 11118 11445 11883 12971 16310 18530 19805 22890 23766 24465 25397 25942 27727 27795 38913 39610 48930 50794 55454 55590 59415 64855 76191 77826 83181 118830 126985 129710 138635 152382 166362 177779 194565 253970 277270 355558 380955 389130 415905 431749 533337 761910 831810 863498 888895 1066674 1295247 1777790 2158745 2590494 2666685 3022243 4317490 5333370 6044486 6476235 9066729 12952470 15111215 18133458 30222430 45333645 90667290