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1987338240 = 213345599
BaseRepresentation
bin111011001110100…
…0110000000000000
312010111112020120000
41312131012000000
513032224310430
6525111320000
7100151045016
oct16635060000
95114466500
101987338240
1192a8896a8
12475680000
132589630b4
1414bd208b6
15b9710e60
hex76746000

1987338240 has 280 divisors, whose sum is σ = 7136434800. Its totient is φ = 529072128.

The previous prime is 1987338229. The next prime is 1987338247. The reversal of 1987338240 is 428337891.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1987338247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3317461 + ... + 3318059.

Almost surely, 21987338240 is an apocalyptic number.

1987338240 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 1987338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568217400).

1987338240 is an abundant number, since it is smaller than the sum of its proper divisors (5149096560).

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

1987338240 is an frugal number, since it uses more digits than its factorization.

1987338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1987338240 is about 44579.5720033291. The cubic root of 1987338240 is about 1257.2566162306.

The spelling of 1987338240 in words is "one billion, nine hundred eighty-seven million, three hundred thirty-eight thousand, two hundred forty".