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990454230 = 234519139463
BaseRepresentation
bin111011000010010…
…010000111010110
32120000201021210000
4323002102013112
54012024013410
6242140512130
733354502443
oct7302220726
92500637700
10990454230
114690a3a17
1223784b646
1312a2772bc
14957849ca
155be47dc0
hex3b0921d6

990454230 has 160 divisors (see below), whose sum is σ = 2829657600. Its totient is φ = 247883328.

The previous prime is 990454183. The next prime is 990454271. The reversal of 990454230 is 32454099.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2138979 + ... + 2139441.

It is an arithmetic number, because the mean of its divisors is an integer number (17685360).

Almost surely, 2990454230 is an apocalyptic number.

990454230 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 990454230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414828800).

990454230 is an abundant number, since it is smaller than the sum of its proper divisors (1839203370).

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

990454230 is a wasteful number, since it uses less digits than its factorization.

990454230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 990454230 is about 31471.4828058673. The cubic root of 990454230 is about 996.8078979934.

The spelling of 990454230 in words is "nine hundred ninety million, four hundred fifty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 139 162 171 190 270 278 285 342 405 417 463 513 570 695 810 834 855 926 1026 1251 1389 1390 1539 1710 2085 2315 2502 2565 2641 2778 3078 3753 4167 4170 4630 5130 5282 6255 6945 7506 7695 7923 8334 8797 11259 12501 12510 13205 13890 15390 15846 17594 18765 20835 22518 23769 25002 26391 26410 37503 37530 39615 41670 43985 47538 52782 56295 62505 64357 71307 75006 79173 79230 87970 112590 118845 125010 128714 131955 142614 158346 187515 193071 213921 237519 237690 263910 321785 356535 375030 386142 395865 427842 475038 579213 643570 712557 713070 791730 965355 1069605 1158426 1187595 1222783 1425114 1737639 1930710 2139210 2375190 2445566 2896065 3475278 3562785 3668349 5212917 5792130 6113915 7125570 7336698 8688195 10425834 11005047 12227830 17376390 18341745 22010094 26064585 33015141 36683490 52129170 55025235 66030282 99045423 110050470 165075705 198090846 330151410 495227115 990454230