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730248090 = 23511131721931
BaseRepresentation
bin101011100001101…
…011001110011010
31212220002110001120
4223201223032122
52443420414330
6200243430110
724045002115
oct5341531632
91786073046
10730248090
1134522a220
12184685336
13b83a0280
146cdad57c
1544199c10
hex2b86b39a

730248090 has 384 divisors, whose sum is σ = 2376622080. Its totient is φ = 141004800.

The previous prime is 730248067. The next prime is 730248131. The reversal of 730248090 is 90842037.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23556375 + ... + 23556405.

It is an arithmetic number, because the mean of its divisors is an integer number (6189120).

Almost surely, 2730248090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 730248090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188311040).

730248090 is an abundant number, since it is smaller than the sum of its proper divisors (1646373990).

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

730248090 is a wasteful number, since it uses less digits than its factorization.

730248090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 730248090 is about 27023.1028936353. The cubic root of 730248090 is about 900.5133244483.

The spelling of 730248090 in words is "seven hundred thirty million, two hundred forty-eight thousand, ninety".