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1990209000 = 233531351031
BaseRepresentation
bin111011010100000…
…0010110111101000
312010200221002111110
41312220002313220
513033443142000
6525253030320
7100214332413
oct16650026750
95120832443
101990209000
1193146a52a
124766253a0
13259429980
1414c46ab7a
15b9acb850
hex76a02de8

1990209000 has 128 divisors (see below), whose sum is σ = 6687233280. Its totient is φ = 489888000.

The previous prime is 1990208981. The next prime is 1990209007. The reversal of 1990209000 is 9020991.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1990209007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13485 + ... + 64515.

It is an arithmetic number, because the mean of its divisors is an integer number (52244010).

Almost surely, 21990209000 is an apocalyptic number.

1990209000 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 1990209000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343616640).

1990209000 is an abundant number, since it is smaller than the sum of its proper divisors (4697024280).

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

1990209000 is a wasteful number, since it uses less digits than its factorization.

1990209000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51068 (or 51054 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 1990209000 is about 44611.7585396496. The cubic root of 1990209000 is about 1257.8617045551.

Adding to 1990209000 its reverse (9020991), we get a palindrome (1999229991).

The spelling of 1990209000 in words is "one billion, nine hundred ninety million, two hundred nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 39000 51031 102062 153093 204124 255155 306186 408248 510310 612372 663403 765465 1020620 1224744 1275775 1326806 1530930 1990209 2041240 2551550 2653612 3061860 3317015 3827325 3980418 5103100 5307224 6123720 6378875 6634030 7654650 7960836 9951045 10206200 12757750 13268060 15309300 15921672 16585075 19136625 19902090 25515500 26536120 30618600 33170150 38273250 39804180 49755225 51031000 66340300 76546500 79608360 82925375 99510450 132680600 153093000 165850750 199020900 248776125 331701500 398041800 497552250 663403000 995104500 1990209000