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992670660 = 223356727437
BaseRepresentation
bin111011001010101…
…111001111000100
32120011212220011000
4323022233033010
54013110430120
6242300213300
733412363362
oct7312571704
92504786130
10992670660
1146a378183
1223853a230
1312a8720b7
1495ba0632
155c234990
hex3b2af3c4

992670660 has 96 divisors (see below), whose sum is σ = 3134517120. Its totient is φ = 260751744.

The previous prime is 992670649. The next prime is 992670661. The reversal of 992670660 is 66076299.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (992670661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22462 + ... + 49898.

It is an arithmetic number, because the mean of its divisors is an integer number (32651220).

Almost surely, 2992670660 is an apocalyptic number.

992670660 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 992670660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567258560).

992670660 is an abundant number, since it is smaller than the sum of its proper divisors (2141846460).

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

992670660 is a wasteful number, since it uses less digits than its factorization.

992670660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27522 (or 27514 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 992670660 is about 31506.6764353208. The cubic root of 992670660 is about 997.5508934404.

The spelling of 992670660 in words is "nine hundred ninety-two million, six hundred seventy thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 180 201 268 270 335 402 540 603 670 804 1005 1206 1340 1809 2010 2412 3015 3618 4020 6030 7236 9045 12060 18090 27437 36180 54874 82311 109748 137185 164622 246933 274370 329244 411555 493866 548740 740799 823110 987732 1234665 1481598 1646220 1838279 2469330 2963196 3676558 3703995 4938660 5514837 7353116 7407990 9191395 11029674 14815980 16544511 18382790 22059348 27574185 33089022 36765580 49633533 55148370 66178044 82722555 99267066 110296740 165445110 198534132 248167665 330890220 496335330 992670660