Search a number
-
+
30414720 = 273573173
BaseRepresentation
bin111010000000…
…1011110000000
32010020020011010
41310001132000
530241232340
63003520520
7516343440
oct164013600
963206133
1030414720
1116194036
12a229140
1363bb99b
14407a120
152a0bb80
hex1d01780

30414720 has 256 divisors, whose sum is σ = 115937280. Its totient is φ = 6635520.

The previous prime is 30414701. The next prime is 30414733. The reversal of 30414720 is 2741403.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416604 + ... + 416676.

It is an arithmetic number, because the mean of its divisors is an integer number (452880).

Almost surely, 230414720 is an apocalyptic number.

30414720 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 30414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57968640).

30414720 is an abundant number, since it is smaller than the sum of its proper divisors (85522560).

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

30414720 is a wasteful number, since it uses less digits than its factorization.

30414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 30414720 is about 5514.9542155851. The cubic root of 30414720 is about 312.1485157498.

The spelling of 30414720 in words is "thirty million, four hundred fourteen thousand, seven hundred twenty".