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1974990000 = 24354431531
BaseRepresentation
bin111010110110111…
…1111010010110000
312002122021212221210
41311231333102300
513021044140000
6523550520120
766641065224
oct16555772260
95078255853
101974990000
11923915245
12471506040
1325622b749
1414a428784
15b85c2350
hex75b7f4b0

1974990000 has 200 divisors, whose sum is σ = 6528060352. Its totient is φ = 514080000.

The previous prime is 1974989981. The next prime is 1974990001. The reversal of 1974990000 is 994791.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (1974990001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1289235 + ... + 1290765.

Almost surely, 21974990000 is an apocalyptic number.

1974990000 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 1974990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264030176).

1974990000 is an abundant number, since it is smaller than the sum of its proper divisors (4553070352).

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

1974990000 is a wasteful number, since it uses less digits than its factorization.

1974990000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 1974990000 is about 44440.8595776454. The cubic root of 1974990000 is about 1254.6472344913.

The spelling of 1974990000 in words is "one billion, nine hundred seventy-four million, nine hundred ninety thousand".