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11250090 = 2345171943
BaseRepresentation
bin101010111010…
…100110101010
3210011120020000
4222322212222
510340000330
61041043430
7164424045
oct52724652
923146200
1011250090
1163943a5
123926576
13243b877
1416cbc5c
15ec3560
hexaba9aa

11250090 has 160 divisors (see below), whose sum is σ = 34499520. Its totient is φ = 2612736.

The previous prime is 11250089. The next prime is 11250101. The reversal of 11250090 is 9005211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 261609 + ... + 261651.

It is an arithmetic number, because the mean of its divisors is an integer number (215622).

Almost surely, 211250090 is an apocalyptic number.

11250090 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 11250090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17249760).

11250090 is an abundant number, since it is smaller than the sum of its proper divisors (23249430).

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

11250090 is a wasteful number, since it uses less digits than its factorization.

11250090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 11250090 is about 3354.1153826307. The cubic root of 11250090 is about 224.0708348469.

The spelling of 11250090 in words is "eleven million, two hundred fifty thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 27 30 34 38 43 45 51 54 57 81 85 86 90 95 102 114 129 135 153 162 170 171 190 215 255 258 270 285 306 323 342 387 405 430 459 510 513 570 645 646 731 765 774 810 817 855 918 969 1026 1161 1290 1377 1462 1530 1539 1615 1634 1710 1935 1938 2193 2295 2322 2451 2565 2754 2907 3078 3230 3483 3655 3870 4085 4386 4590 4845 4902 5130 5805 5814 6579 6885 6966 7310 7353 7695 8170 8721 9690 10965 11610 12255 13158 13770 13889 14535 14706 15390 17415 17442 19737 21930 22059 24510 26163 27778 29070 32895 34830 36765 39474 41667 43605 44118 52326 59211 65790 66177 69445 73530 83334 87210 98685 110295 118422 125001 130815 132354 138890 197370 208335 220590 250002 261630 296055 330885 375003 416670 592110 625005 661770 750006 1125009 1250010 1875015 2250018 3750030 5625045 11250090