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990000760 = 235741831039
BaseRepresentation
bin111011000000100…
…011011001111000
32112222212020201211
4323000203121320
54011420011020
6242123052504
733350603410
oct7300433170
92488766654
10990000760
11468914251
12237671134
1312a148a88
14956a7640
155bda885a
hex3b023678

990000760 has 128 divisors (see below), whose sum is σ = 2641766400. Its totient is φ = 326845440.

The previous prime is 990000743. The next prime is 990000761. The reversal of 990000760 is 67000099.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990000761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 952321 + ... + 953359.

It is an arithmetic number, because the mean of its divisors is an integer number (20638800).

Almost surely, 2990000760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990000760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320883200).

990000760 is an abundant number, since it is smaller than the sum of its proper divisors (1651765640).

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

990000760 is a wasteful number, since it uses less digits than its factorization.

990000760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 990000760 is about 31464.2775222950. The cubic root of 990000760 is about 996.6557484490.

The spelling of 990000760 in words is "nine hundred ninety million, seven hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 83 140 164 166 205 280 287 328 332 410 415 574 581 664 820 830 1039 1148 1162 1435 1640 1660 2078 2296 2324 2870 2905 3320 3403 4156 4648 5195 5740 5810 6806 7273 8312 10390 11480 11620 13612 14546 17015 20780 23240 23821 27224 29092 34030 36365 41560 42599 47642 58184 68060 72730 85198 86237 95284 119105 136120 145460 170396 172474 190568 212995 238210 290920 298193 340792 344948 425990 431185 476420 596386 603659 689896 851980 862370 952840 1192772 1207318 1490965 1703960 1724740 2385544 2414636 2981930 3018295 3449480 3535717 4829272 5963860 6036590 7071434 11927720 12073180 14142868 17678585 24146360 24750019 28285736 35357170 49500038 70714340 99000076 123750095 141428680 198000152 247500190 495000380 990000760