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990498360 = 2335311491787
BaseRepresentation
bin111011000010011…
…100111000111000
32120000210112022110
4323002130320320
54012031421420
6242141452320
733355045215
oct7302347070
92500715273
10990498360
11469124095
122378710a0
1312a291407
1495796b0c
155be55ee0
hex3b09ce38

990498360 has 128 divisors (see below), whose sum is σ = 3089664000. Its totient is φ = 253754880.

The previous prime is 990498359. The next prime is 990498361. The reversal of 990498360 is 63894099.

It is a happy number.

990498360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (990498359) and next prime (990498361).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990498361) 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, 553387 + ... + 555173.

It is an arithmetic number, because the mean of its divisors is an integer number (24138000).

Almost surely, 2990498360 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 990498360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544832000).

990498360 is an abundant number, since it is smaller than the sum of its proper divisors (2099165640).

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

990498360 is a wasteful number, since it uses less digits than its factorization.

990498360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 990498360 is about 31472.1839089695. The cubic root of 990498360 is about 996.8227021368.

The spelling of 990498360 in words is "nine hundred ninety million, four hundred ninety-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 149 155 186 248 298 310 372 447 465 596 620 744 745 894 930 1192 1240 1490 1787 1788 1860 2235 2980 3574 3576 3720 4470 4619 5361 5960 7148 8935 8940 9238 10722 13857 14296 17870 17880 18476 21444 23095 26805 27714 35740 36952 42888 46190 53610 55397 55428 69285 71480 92380 107220 110794 110856 138570 166191 184760 214440 221588 266263 276985 277140 332382 443176 532526 553970 554280 664764 798789 830955 1065052 1107940 1329528 1331315 1597578 1661910 2130104 2215880 2662630 3195156 3323820 3993945 5325260 6390312 6647640 7987890 8254153 10650520 15975780 16508306 24762459 31951560 33016612 41270765 49524918 66033224 82541530 99049836 123812295 165083060 198099672 247624590 330166120 495249180 990498360