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1942989120 = 263658329
BaseRepresentation
bin111001111001111…
…1010100101000000
312000102002002000000
41303303322211000
512434401122440
6520445000000
766102064212
oct16363724500
95012062000
101942989120
11907848536
12462853000
1324c705b07
141460985b2
15b58a0730
hex73cfa940

1942989120 has 196 divisors, whose sum is σ = 6937773780. Its totient is φ = 518068224.

The previous prime is 1942989091. The next prime is 1942989131. The reversal of 1942989120 is 219892491.

It can be written as a sum of positive squares in 2 ways, for example, as 448084224 + 1494904896 = 21168^2 + 38664^2 .

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 polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 229116 + ... + 237444.

It is an arithmetic number, because the mean of its divisors is an integer number (35396805).

Almost surely, 21942989120 is an apocalyptic number.

1942989120 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 1942989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468886890).

1942989120 is an abundant number, since it is smaller than the sum of its proper divisors (4994784660).

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

1942989120 is an frugal number, since it uses more digits than its factorization.

1942989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8364 (or 8339 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1942989120 is about 44079.3502674438. The cubic root of 1942989120 is about 1247.8339276057.

The spelling of 1942989120 in words is "one billion, nine hundred forty-two million, nine hundred eighty-nine thousand, one hundred twenty".