Search a number
-
+
9904155300 = 223252131974297
BaseRepresentation
bin10010011100101010…
…10110101010100100
3221120020102012220200
421032111112222210
5130240430432200
64314440230500
7500301634224
oct111625265244
927506365820
109904155300
114222701516
121b04a6b430
13c1aba0130
1469d534084
153ce779800
hex24e556aa4

9904155300 has 216 divisors, whose sum is σ = 33609551976. Its totient is φ = 2425006080.

The previous prime is 9904155277. The next prime is 9904155329. The reversal of 9904155300 is 35514099.

It can be written as a sum of positive squares in 12 ways, for example, as 1436106816 + 8468048484 = 37896^2 + 92022^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2302752 + ... + 2307048.

Almost surely, 29904155300 is an apocalyptic number.

9904155300 is a gapful number since it is divisible by the number (90) 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 9904155300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16804775988).

9904155300 is an abundant number, since it is smaller than the sum of its proper divisors (23705396676).

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

9904155300 is a wasteful number, since it uses less digits than its factorization.

9904155300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4527 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 9904155300 is about 99519.6226881915. The cubic root of 9904155300 is about 2147.5295438787.

Adding to 9904155300 its reverse (35514099), we get a palindrome (9939669399).

The spelling of 9904155300 in words is "nine billion, nine hundred four million, one hundred fifty-five thousand, three hundred".