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30119040 = 27345783
BaseRepresentation
bin111001011100…
…1010010000000
32002200012120000
41302321102000
530202302130
62553320000
7514002420
oct162712200
962605500
1030119040
1116001976
12a106000
136317223
144000480
15299e260
hex1cb9480

30119040 has 320 divisors, whose sum is σ = 124407360. Its totient is φ = 6801408.

The previous prime is 30119027. The next prime is 30119059. The reversal of 30119040 is 4091103.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362839 + ... + 362921.

It is an arithmetic number, because the mean of its divisors is an integer number (388773).

Almost surely, 230119040 is an apocalyptic number.

30119040 is a gapful number since it is divisible by the number (30) 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 30119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62203680).

30119040 is an abundant number, since it is smaller than the sum of its proper divisors (94288320).

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

30119040 is an equidigital number, since it uses as much as digits as its factorization.

30119040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 30119040 is about 5488.0816320459. The cubic root of 30119040 is about 311.1336914828.

The spelling of 30119040 in words is "thirty million, one hundred nineteen thousand, forty".