Search a number
-
+
215104320 = 26325193931
BaseRepresentation
bin11001101001000…
…11101101000000
3112222202102122200
430310203231000
5420031314240
633202233200
75221233204
oct1464435500
9488672580
10215104320
1110046a072
1260055800
1335745282
14207d4b04
1513d3e930
hexcd23b40

215104320 has 168 divisors, whose sum is σ = 779007840. Its totient is φ = 54328320.

The previous prime is 215104313. The next prime is 215104321. The reversal of 215104320 is 23401512.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 215104293 and 215104302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215104321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52755 + ... + 56685.

Almost surely, 2215104320 is an apocalyptic number.

215104320 is a gapful number since it is divisible by the number (20) 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 215104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389503920).

215104320 is an abundant number, since it is smaller than the sum of its proper divisors (563903520).

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

215104320 is a wasteful number, since it uses less digits than its factorization.

215104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3973 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 215104320 is about 14666.4351496879. The cubic root of 215104320 is about 599.1695176956.

Adding to 215104320 its reverse (23401512), we get a palindrome (238505832).

The spelling of 215104320 in words is "two hundred fifteen million, one hundred four thousand, three hundred twenty".