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2001998970 = 233519138821
BaseRepresentation
bin111011101010100…
…0001010001111010
312011112010002022000
41313111001101322
513100002431340
6530353441430
7100416465456
oct16725012172
95145102260
102001998970
11938092504
1247a570276
1325b9c719a
1414dc59666
15bab59d30
hex7754147a

2001998970 has 64 divisors (see below), whose sum is σ = 5366753280. Its totient is φ = 531057600.

The previous prime is 2001998969. The next prime is 2001998983. The reversal of 2001998970 is 798991002.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32160 + ... + 70980.

It is an arithmetic number, because the mean of its divisors is an integer number (83855520).

Almost surely, 22001998970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001998970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683376640).

2001998970 is an abundant number, since it is smaller than the sum of its proper divisors (3364754310).

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

2001998970 is a wasteful number, since it uses less digits than its factorization.

2001998970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39028 (or 39022 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 2001998970 is about 44743.7031323962. The cubic root of 2001998970 is about 1260.3406675223.

The spelling of 2001998970 in words is "two billion, one million, nine hundred ninety-eight thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 191 270 382 573 955 1146 1719 1910 2865 3438 5157 5730 8595 10314 17190 25785 38821 51570 77642 116463 194105 232926 349389 388210 582315 698778 1048167 1164630 1746945 2096334 3493890 5240835 7414811 10481670 14829622 22244433 37074055 44488866 66733299 74148110 111222165 133466598 200199897 222444330 333666495 400399794 667332990 1000999485 2001998970