[go: up one dir, main page]

Search a number
-
+
30497280 = 293511192
BaseRepresentation
bin111010001010…
…1101000000000
32010101102101220
41310111220000
530301403110
63005355040
7520136232
oct164255000
963342356
1030497280
1116240070
12a268a80
13641a438
14409c252
152a26370
hex1d15a00

30497280 has 240 divisors, whose sum is σ = 112251744. Its totient is φ = 7004160.

The previous prime is 30497267. The next prime is 30497297. The reversal of 30497280 is 8279403.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 1605111 + ... + 1605129.

Almost surely, 230497280 is an apocalyptic number.

30497280 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 30497280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56125872).

30497280 is an abundant number, since it is smaller than the sum of its proper divisors (81754464).

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

30497280 is a wasteful number, since it uses less digits than its factorization.

30497280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

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

The square root of 30497280 is about 5522.4342458738. The cubic root of 30497280 is about 312.4307003667.

The spelling of 30497280 in words is "thirty million, four hundred ninety-seven thousand, two hundred eighty".