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990325260 = 2232523435563
BaseRepresentation
bin111011000001110…
…010101000001100
32120000110201212100
4323001302220030
54012010402020
6242134035100
733353424441
oct7301625014
92500421770
10990325260
11469016031
122377a8a90
1312a2306a2
149574d9c8
155be1ea90
hex3b072a0c

990325260 has 144 divisors (see below), whose sum is σ = 3208068864. Its totient is φ = 246685824.

The previous prime is 990325247. The next prime is 990325261. The reversal of 990325260 is 62523099.

990325260 is a nontrivial binomial coefficient, being equal to C(44505, 2).

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

It is not an unprimeable number, because it can be changed into a prime (990325261) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 175239 + ... + 180801.

It is an arithmetic number, because the mean of its divisors is an integer number (22278256).

Almost surely, 2990325260 is an apocalyptic number.

990325260 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

990325260 is the 44504-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990325260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604034432).

990325260 is an abundant number, since it is smaller than the sum of its proper divisors (2217743604).

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

990325260 is a wasteful number, since it uses less digits than its factorization.

990325260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5644 (or 5639 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 990325260 is about 31469.4337413307. The cubic root of 990325260 is about 996.7646303387.

The spelling of 990325260 in words is "nine hundred ninety million, three hundred twenty-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 43 45 46 60 69 86 90 92 115 129 138 172 180 207 215 230 258 276 345 387 414 430 460 516 645 690 774 828 860 989 1035 1290 1380 1548 1935 1978 2070 2580 2967 3870 3956 4140 4945 5563 5934 7740 8901 9890 11126 11868 14835 16689 17802 19780 22252 27815 29670 33378 35604 44505 50067 55630 59340 66756 83445 89010 100134 111260 127949 166890 178020 200268 239209 250335 255898 333780 383847 478418 500670 511796 639745 717627 767694 956836 1001340 1151541 1196045 1279490 1435254 1535388 1919235 2152881 2303082 2392090 2558980 2870508 3588135 3838470 4305762 4606164 4784180 5501807 5757705 7176270 7676940 8611524 10764405 11003614 11515410 14352540 16505421 21528810 22007228 23030820 27509035 33010842 43057620 49516263 55018070 66021684 82527105 99032526 110036140 165054210 198065052 247581315 330108420 495162630 990325260