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128124990 = 2345759383
BaseRepresentation
bin1111010001100…
…00100000111110
322221002102110000
413220300200332
5230244444430
620414055130
73114021150
oct750604076
9287072400
10128124990
1166361224
1236aaa4a6
1320710206
1413032ad0
15b3ace60
hex7a3083e

128124990 has 160 divisors (see below), whose sum is σ = 401448960. Its totient is φ = 28714176.

The previous prime is 128124979. The next prime is 128125021. The reversal of 128124990 is 99421821.

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, 334339 + ... + 334721.

It is an arithmetic number, because the mean of its divisors is an integer number (2509056).

Almost surely, 2128124990 is an apocalyptic number.

128124990 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 128124990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200724480).

128124990 is an abundant number, since it is smaller than the sum of its proper divisors (273323970).

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

128124990 is a wasteful number, since it uses less digits than its factorization.

128124990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 128124990 is about 11319.2309809457. The cubic root of 128124990 is about 504.1324056889.

The spelling of 128124990 in words is "one hundred twenty-eight million, one hundred twenty-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 59 63 70 81 90 105 118 126 135 162 177 189 210 270 295 315 354 378 383 405 413 531 567 590 630 766 810 826 885 945 1062 1134 1149 1239 1593 1770 1890 1915 2065 2298 2478 2655 2681 2835 3186 3447 3717 3830 4130 4779 5310 5362 5670 5745 6195 6894 7434 7965 8043 9558 10341 11151 11490 12390 13405 15930 16086 17235 18585 20682 22302 22597 23895 24129 26810 31023 33453 34470 37170 40215 45194 47790 48258 51705 55755 62046 66906 67791 72387 80430 103410 111510 112985 120645 135582 144774 155115 158179 167265 203373 217161 225970 241290 310230 316358 334530 338955 361935 406746 434322 474537 610119 677910 723870 790895 949074 1016865 1085805 1220238 1423611 1581790 1830357 2033730 2171610 2372685 2847222 3050595 3660714 4270833 4745370 6101190 7118055 8541666 9151785 12812499 14236110 18303570 21354165 25624998 42708330 64062495 128124990