Search a number
-
+
30747858240 = 263511101127227
BaseRepresentation
bin11100101000101101…
…110001010101000000
32221100212112001000110
4130220231301111000
51000432422430430
622043025151320
72135650324401
oct345055612500
987325461013
1030747858240
1112049400aa0
125b6148b540
132b902bca78
1416b98bd9a8
15bee6017b0
hex728b71540

30747858240 has 448 divisors, whose sum is σ = 108878266368. Its totient is φ = 7289856000.

The previous prime is 30747858233. The next prime is 30747858247. The reversal of 30747858240 is 4285874703.

It is an interprime number because it is at equal distance from previous prime (30747858233) and next prime (30747858247).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 30747858240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30747858247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135453007 + ... + 135453233.

Almost surely, 230747858240 is an apocalyptic number.

30747858240 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 30747858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54439133184).

30747858240 is an abundant number, since it is smaller than the sum of its proper divisors (78130408128).

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

30747858240 is a wasteful number, since it uses less digits than its factorization.

30747858240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 30747858240 in words is "thirty billion, seven hundred forty-seven million, eight hundred fifty-eight thousand, two hundred forty".