Search a number
-
+
30525603840 = 21433537373
BaseRepresentation
bin11100011011011101…
…111100000000000000
32220210101022100022000
4130123131330000000
51000004023310330
622005005344000
72130311231364
oct343335740000
986711270260
1030525603840
1111a449a8a76
125abab68000
132b562431a4
1416981872a4
15bd9d4d560
hex71b77c000

30525603840 has 480 divisors, whose sum is σ = 111764304960. Its totient is φ = 7898923008.

The previous prime is 30525603833. The next prime is 30525603847. The reversal of 30525603840 is 4830652503.

It is a happy number.

30525603840 is a `hidden beast` number, since 3 + 0 + 5 + 2 + 5 + 603 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (30525603833) and next prime (30525603847).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30525603795 and 30525603804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30525603847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81837894 + ... + 81838266.

It is an arithmetic number, because the mean of its divisors is an integer number (232842302).

Almost surely, 230525603840 is an apocalyptic number.

30525603840 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 30525603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55882152480).

30525603840 is an abundant number, since it is smaller than the sum of its proper divisors (81238701120).

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

30525603840 is an equidigital number, since it uses as much as digits as its factorization.

30525603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 30525603840 in words is "thirty billion, five hundred twenty-five million, six hundred three thousand, eight hundred forty".