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1916464640 = 2951931241
BaseRepresentation
bin111001000111010…
…1110111000000000
311221120011111020212
41302032232320000
512411103332030
6514100253252
765330452316
oct16216567000
94846144225
101916464640
118a3881282
124559a1228
13247079a5c
141427520b6
15b33b1595
hex723aee00

1916464640 has 240 divisors, whose sum is σ = 5119828560. Its totient is φ = 685670400.

The previous prime is 1916464607. The next prime is 1916464643. The reversal of 1916464640 is 464646191.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1916464643) 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, 46743020 + ... + 46743060.

It is an arithmetic number, because the mean of its divisors is an integer number (21332619).

Almost surely, 21916464640 is an apocalyptic number.

1916464640 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 1916464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559914280).

1916464640 is an abundant number, since it is smaller than the sum of its proper divisors (3203363920).

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

1916464640 is an equidigital number, since it uses as much as digits as its factorization.

1916464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 1916464640 is about 43777.4444206146. Note that the first 4 decimals coincide. The cubic root of 1916464640 is about 1242.1296735704.

The spelling of 1916464640 in words is "one billion, nine hundred sixteen million, four hundred sixty-four thousand, six hundred forty".