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992330240 = 29511131269
BaseRepresentation
bin111011001001011…
…100001000000000
32120011020121011212
4323021130020000
54013014031430
6242245025252
733406445036
oct7311341000
92504217155
10992330240
1146a165440
122383b5228
1312a783175
1495b12556
155c1b8b95
hex3b25c200

992330240 has 160 divisors (see below), whose sum is σ = 2625099840. Its totient is φ = 356761600.

The previous prime is 992330237. The next prime is 992330267. The reversal of 992330240 is 42033299.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 992330197 and 992330206.

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, 3688826 + ... + 3689094.

It is an arithmetic number, because the mean of its divisors is an integer number (16406874).

Almost surely, 2992330240 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 992330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312549920).

992330240 is an abundant number, since it is smaller than the sum of its proper divisors (1632769600).

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

992330240 is a wasteful number, since it uses less digits than its factorization.

992330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 992330240 is about 31501.2736250457. The cubic root of 992330240 is about 997.4368492044.

The spelling of 992330240 in words is "nine hundred ninety-two million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 131 160 176 220 256 262 269 320 352 440 512 524 538 640 655 704 880 1048 1076 1280 1310 1345 1408 1441 1760 2096 2152 2560 2620 2690 2816 2882 2959 3520 4192 4304 5240 5380 5632 5764 5918 7040 7205 8384 8608 10480 10760 11528 11836 14080 14410 14795 16768 17216 20960 21520 23056 23672 28160 28820 29590 33536 34432 35239 41920 43040 46112 47344 57640 59180 67072 68864 70478 83840 86080 92224 94688 115280 118360 137728 140956 167680 172160 176195 184448 189376 230560 236720 281912 335360 344320 352390 368896 378752 387629 461120 473440 563824 688640 704780 737792 757504 775258 922240 946880 1127648 1409560 1515008 1550516 1844480 1893760 1938145 2255296 2819120 3101032 3688960 3787520 3876290 4510592 5638240 6202064 7575040 7752580 9021184 11276480 12404128 15505160 18042368 22552960 24808256 31010320 45105920 49616512 62020640 90211840 99233024 124041280 198466048 248082560 496165120 992330240