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1992000 = 2635383
BaseRepresentation
bin111100110010101000000
310202012111210
413212111000
51002221000
6110410120
722634403
oct7462500
93665453
101992000
11114068a
12800940
135498ca
1439bd3a
15295350
hex1e6540

1992000 has 112 divisors (see below), whose sum is σ = 6656832. Its totient is φ = 524800.

The previous prime is 1991999. The next prime is 1992031. The reversal of 1992000 is 2991.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23959 + ... + 24041.

It is an arithmetic number, because the mean of its divisors is an integer number (59436).

21992000 is an apocalyptic number.

1992000 is a gapful number since it is divisible by the number (10) 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 1992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328416).

1992000 is an abundant number, since it is smaller than the sum of its proper divisors (4664832).

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

1992000 is an equidigital number, since it uses as much as digits as its factorization.

1992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 1992000 is about 1411.3823011502. The cubic root of 1992000 is about 125.8238910311.

Adding to 1992000 its reverse (2991), we get a palindrome (1994991).

The spelling of 1992000 in words is "one million, nine hundred ninety-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 83 96 100 120 125 150 160 166 192 200 240 249 250 300 320 332 375 400 415 480 498 500 600 664 750 800 830 960 996 1000 1200 1245 1328 1500 1600 1660 1992 2000 2075 2400 2490 2656 3000 3320 3984 4000 4150 4800 4980 5312 6000 6225 6640 7968 8000 8300 9960 10375 12000 12450 13280 15936 16600 19920 20750 24000 24900 26560 31125 33200 39840 41500 49800 62250 66400 79680 83000 99600 124500 132800 166000 199200 249000 332000 398400 498000 664000 996000 1992000