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1189681920 = 28325714753
BaseRepresentation
bin100011011101001…
…0001101100000000
310001220121002210100
41012322101230000
54414024310140
6314015002400
741324062260
oct10672215400
93056532710
101189681920
115605a96a9
12292509400
1315c620bcb
14b40057a0
156e69d530
hex46e91b00

1189681920 has 216 divisors, whose sum is σ = 4704519456. Its totient is φ = 271908864.

The previous prime is 1189681901. The next prime is 1189681921. The reversal of 1189681920 is 291869811.

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

It is not an unprimeable number, because it can be changed into a prime (1189681921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73264 + ... + 88016.

Almost surely, 21189681920 is an apocalyptic number.

1189681920 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 1189681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352259728).

1189681920 is an abundant number, since it is smaller than the sum of its proper divisors (3514837536).

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

1189681920 is a wasteful number, since it uses less digits than its factorization.

1189681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14787 (or 14770 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The square root of 1189681920 is about 34491.7659739248. The cubic root of 1189681920 is about 1059.6040766525.

The spelling of 1189681920 in words is "one billion, one hundred eighty-nine million, six hundred eighty-one thousand, nine hundred twenty".