Search a number
-
+
1918419930 = 2335719411303
BaseRepresentation
bin111001001011000…
…1100001111011010
311221200211211102000
41302112030033122
512412103414210
6514210221430
765353205010
oct16226141732
94850754360
101918419930
118a4997319
12456584876
132475b2a2b
14142b008b0
15b364aac0
hex7258c3da

1918419930 has 256 divisors, whose sum is σ = 6309273600. Its totient is φ = 404974080.

The previous prime is 1918419913. The next prime is 1918419953. The reversal of 1918419930 is 399148191.

1918419930 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1471659 + ... + 1472961.

It is an arithmetic number, because the mean of its divisors is an integer number (24645600).

Almost surely, 21918419930 is an apocalyptic number.

1918419930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1918419930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154636800).

1918419930 is an abundant number, since it is smaller than the sum of its proper divisors (4390853670).

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

1918419930 is a wasteful number, since it uses less digits than its factorization.

1918419930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 1918419930 is about 43799.7708898117. The cubic root of 1918419930 is about 1242.5519612507.

The spelling of 1918419930 in words is "one billion, nine hundred eighteen million, four hundred nineteen thousand, nine hundred thirty".