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1990200 = 2335231107
BaseRepresentation
bin111100101111000111000
310202010001010
413211320320
51002141300
6110353520
722626222
oct7457070
93663033
101990200
11113a2a3
127bb8a0
13548b44
1439b412
15294a50
hex1e5e38

1990200 has 96 divisors (see below), whose sum is σ = 6428160. Its totient is φ = 508800.

The previous prime is 1990189. The next prime is 1990211. The reversal of 1990200 is 20991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1990189) and next prime (1990211).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18547 + ... + 18653.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

21990200 is an apocalyptic number.

1990200 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 1990200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214080).

1990200 is an abundant number, since it is smaller than the sum of its proper divisors (4437960).

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

1990200 is a wasteful number, since it uses less digits than its factorization.

1990200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 148 counting only the distinct ones).

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

The square root of 1990200 is about 1410.7444843061. The cubic root of 1990200 is about 125.7859808477.

The spelling of 1990200 in words is "one million, nine hundred ninety thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 107 120 124 150 155 186 200 214 248 300 310 321 372 428 465 535 600 620 642 744 775 856 930 1070 1240 1284 1550 1605 1860 2140 2325 2568 2675 3100 3210 3317 3720 4280 4650 5350 6200 6420 6634 8025 9300 9951 10700 12840 13268 16050 16585 18600 19902 21400 26536 32100 33170 39804 49755 64200 66340 79608 82925 99510 132680 165850 199020 248775 331700 398040 497550 663400 995100 1990200