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1689742620 = 2234543127191
BaseRepresentation
bin110010010110111…
…0110110100011100
311100202112211010000
41210231312310130
511430033230440
6435401014300
756605401216
oct14455666434
94322484100
101689742620
117978a7705
123b1a84390
1320c0c7807
141205b55b6
159d529730
hex64b76d1c

1689742620 has 240 divisors, whose sum is σ = 5495390208. Its totient is φ = 434367360.

The previous prime is 1689742589. The next prime is 1689742643. The reversal of 1689742620 is 262479861.

It is a happy number.

1689742620 is a `hidden beast` number, since 16 + 8 + 9 + 7 + 4 + 2 + 620 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8846725 + ... + 8846915.

Almost surely, 21689742620 is an apocalyptic number.

1689742620 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 1689742620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747695104).

1689742620 is an abundant number, since it is smaller than the sum of its proper divisors (3805647588).

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

1689742620 is a wasteful number, since it uses less digits than its factorization.

1689742620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 371 counting only the distinct ones).

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

The square root of 1689742620 is about 41106.4790513612. The cubic root of 1689742620 is about 1191.0779536437.

The spelling of 1689742620 in words is "one billion, six hundred eighty-nine million, seven hundred forty-two thousand, six hundred twenty".