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990970320 = 243513730139
BaseRepresentation
bin111011000100010…
…000000111010000
32120001200111201110
4323010100013100
54012142022240
6242155533320
733362052204
oct7304200720
92501614643
10990970320
1146941673a
12237a5a240
1312a3c8192
149587ab04
155beeac80
hex3b1101d0

990970320 has 80 divisors (see below), whose sum is σ = 3094534080. Its totient is φ = 262321152.

The previous prime is 990970319. The next prime is 990970363. The reversal of 990970320 is 23079099.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17811 + ... + 47949.

It is an arithmetic number, because the mean of its divisors is an integer number (38681676).

Almost surely, 2990970320 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 990970320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547267040).

990970320 is an abundant number, since it is smaller than the sum of its proper divisors (2103563760).

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

990970320 is a wasteful number, since it uses less digits than its factorization.

990970320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30292 (or 30286 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 39.

The square root of 990970320 is about 31479.6810657287. The cubic root of 990970320 is about 996.9810014867.

The spelling of 990970320 in words is "nine hundred ninety million, nine hundred seventy thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 411 548 685 822 1096 1370 1644 2055 2192 2740 3288 4110 5480 6576 8220 10960 16440 30139 32880 60278 90417 120556 150695 180834 241112 301390 361668 452085 482224 602780 723336 904170 1205560 1446672 1808340 2411120 3616680 4129043 7233360 8258086 12387129 16516172 20645215 24774258 33032344 41290430 49548516 61935645 66064688 82580860 99097032 123871290 165161720 198194064 247742580 330323440 495485160 990970320