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990207936 = 2633683839
BaseRepresentation
bin111011000001010…
…101111111000000
32120000020202221000
4323001111333000
54011443123221
6242131332000
733352425414
oct7301257700
92500222830
10990207936
11468a45973
12237751000
1312a1bc173
149571cd44
155bde9e26
hex3b055fc0

990207936 has 112 divisors (see below), whose sum is σ = 2918764800. Its totient is φ = 329193216.

The previous prime is 990207917. The next prime is 990207947. The reversal of 990207936 is 639702099.

990207936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 990207891 and 990207900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1179805 + ... + 1180643.

It is an arithmetic number, because the mean of its divisors is an integer number (26060400).

Almost surely, 2990207936 is an apocalyptic number.

990207936 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990207936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459382400).

990207936 is an abundant number, since it is smaller than the sum of its proper divisors (1928556864).

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

990207936 is a wasteful number, since it uses less digits than its factorization.

990207936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 990207936 is about 31467.5695915652. The cubic root of 990207936 is about 996.7252664931.

The spelling of 990207936 in words is "nine hundred ninety million, two hundred seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 683 839 864 1366 1678 1728 2049 2517 2732 3356 4098 5034 5464 6147 6712 7551 8196 10068 10928 12294 13424 15102 16392 18441 20136 21856 22653 24588 26848 30204 32784 36882 40272 43712 45306 49176 53696 60408 65568 73764 80544 90612 98352 120816 131136 147528 161088 181224 196704 241632 295056 362448 393408 483264 573037 590112 724896 1146074 1180224 1449792 1719111 2292148 3438222 4584296 5157333 6876444 9168592 10314666 13752888 15471999 18337184 20629332 27505776 30943998 36674368 41258664 55011552 61887996 82517328 110023104 123775992 165034656 247551984 330069312 495103968 990207936