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990322920 = 233254795743
BaseRepresentation
bin111011000001110…
…010000011101000
32120000110121122200
4323001302003220
54012010313140
6242134020200
733353414556
oct7301620350
92500417580
10990322920
114690142a4
122377a7660
1312a22c5c2
149574cbd6
155be1e030
hex3b0720e8

990322920 has 96 divisors (see below), whose sum is σ = 3225830400. Its totient is φ = 263488896.

The previous prime is 990322909. The next prime is 990322973. The reversal of 990322920 is 29223099.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 169569 + ... + 175311.

It is an arithmetic number, because the mean of its divisors is an integer number (33602400).

Almost surely, 2990322920 is an apocalyptic number.

990322920 is a gapful number since it is divisible by the number (90) 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 990322920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612915200).

990322920 is an abundant number, since it is smaller than the sum of its proper divisors (2235507480).

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

990322920 is a wasteful number, since it uses less digits than its factorization.

990322920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6239 (or 6232 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 990322920 is about 31469.3965623747. The cubic root of 990322920 is about 996.7638452663.

It can be divided in two parts, 9903 and 22920, that added together give a palindrome (32823).

The spelling of 990322920 in words is "nine hundred ninety million, three hundred twenty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 479 958 1437 1916 2395 2874 3832 4311 4790 5743 5748 7185 8622 9580 11486 11496 14370 17229 17244 19160 21555 22972 28715 28740 34458 34488 43110 45944 51687 57430 57480 68916 86145 86220 103374 114860 137832 172290 172440 206748 229720 258435 344580 413496 516870 689160 1033740 2067480 2750897 5501794 8252691 11003588 13754485 16505382 22007176 24758073 27508970 33010764 41263455 49516146 55017940 66021528 82526910 99032292 110035880 123790365 165053820 198064584 247580730 330107640 495161460 990322920