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990179280 = 243251780897
BaseRepresentation
bin111011000001001…
…110111111010000
32120000012022121200
4323001032333100
54011441214110
6242130551200
733352246026
oct7301167720
92500168550
10990179280
11468a26392
12237738500
1312a1ac0cc
1495712716
155bde16c0
hex3b04efd0

990179280 has 120 divisors (see below), whose sum is σ = 3521004552. Its totient is φ = 248512512.

The previous prime is 990179261. The next prime is 990179287. The reversal of 990179280 is 82971099.

It can be written as a sum of positive squares in 4 ways, for example, as 417630096 + 572549184 = 20436^2 + 23928^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990179287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28209 + ... + 52688.

Almost surely, 2990179280 is an apocalyptic number.

990179280 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

990179280 is an abundant number, since it is smaller than the sum of its proper divisors (2530825272).

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

990179280 is a wasteful number, since it uses less digits than its factorization.

990179280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80933 (or 80924 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 990179280 is about 31467.1142623533. The cubic root of 990179280 is about 996.7156515312.

The spelling of 990179280 in words is "nine hundred ninety million, one hundred seventy-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 80897 161794 242691 323588 404485 485382 647176 728073 808970 970764 1213455 1294352 1375249 1456146 1617940 1941528 2426910 2750498 2912292 3235880 3640365 3883056 4125747 4853820 5500996 5824584 6471760 6876245 7280730 8251494 9707640 11001992 11649168 12377241 13752490 14561460 16502988 19415280 20628735 22003984 24754482 27504980 29122920 33005976 41257470 49508964 55009960 58245840 61886205 66011952 82514940 99017928 110019920 123772410 165029880 198035856 247544820 330059760 495089640 990179280