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1988737920 = 27345132227
BaseRepresentation
bin111011010001001…
…1011101110000000
312010121011100120000
41312202123232000
513033104103140
6525201320000
7100165664511
oct16642335600
95117140500
101988737920
11930655264
12476036000
13259033200
1414c1a6a08
15b98daa30
hex7689bb80

1988737920 has 480 divisors, whose sum is σ = 7724364120. Its totient is φ = 487378944.

The previous prime is 1988737909. The next prime is 1988737943. The reversal of 1988737920 is 297378891.

1988737920 is a `hidden beast` number, since 198 + 87 + 379 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8760847 + ... + 8761073.

Almost surely, 21988737920 is an apocalyptic number.

1988737920 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 1988737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862182060).

1988737920 is an abundant number, since it is smaller than the sum of its proper divisors (5735626200).

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

1988737920 is a wasteful number, since it uses less digits than its factorization.

1988737920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 1988737920 is about 44595.2679103961. The cubic root of 1988737920 is about 1257.5517084189.

The spelling of 1988737920 in words is "one billion, nine hundred eighty-eight million, seven hundred thirty-seven thousand, nine hundred twenty".