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99990990 = 233511131257
BaseRepresentation
bin1011111010110…
…11110111001110
320222011001212000
411331123313032
5201044202430
613531053130
72322623631
oct575336716
9228131760
1099990990
1151495790
12295a11a6
131793c688
14d3cbc18
158ba1e60
hex5f5bdce

99990990 has 128 divisors (see below), whose sum is σ = 294243840. Its totient is φ = 23961600.

The previous prime is 99990973. The next prime is 99991009. The reversal of 99990990 is 9909999.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 388942 + ... + 389198.

It is an arithmetic number, because the mean of its divisors is an integer number (2298780).

Almost surely, 299990990 is an apocalyptic number.

99990990 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99990990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147121920).

99990990 is an abundant number, since it is smaller than the sum of its proper divisors (194252850).

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

99990990 is a wasteful number, since it uses less digits than its factorization.

99990990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 531441, while the sum is 54.

The square root of 99990990 is about 9999.5494898520. The cubic root of 99990990 is about 464.1449427041.

It can be divided in two parts, 999909 and 90, that added together give a palindrome (999999).

The spelling of 99990990 in words is "ninety-nine million, nine hundred ninety thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 131 135 165 198 257 262 270 297 330 393 495 514 594 655 771 786 990 1179 1285 1310 1441 1485 1542 1965 2313 2358 2570 2827 2882 2970 3537 3855 3930 4323 4626 5654 5895 6939 7074 7205 7710 8481 8646 11565 11790 12969 13878 14135 14410 16962 17685 21615 23130 25443 25938 28270 33667 34695 35370 38907 42405 43230 50886 64845 67334 69390 76329 77814 84810 101001 127215 129690 152658 168335 194535 202002 254430 303003 336670 370337 381645 389070 505005 606006 740674 763290 909009 1010010 1111011 1515015 1818018 1851685 2222022 3030030 3333033 3703370 4545045 5555055 6666066 9090090 9999099 11110110 16665165 19998198 33330330 49995495 99990990