Search a number
-
+
58196160 = 26325112167
BaseRepresentation
bin1101111000000…
…0000011000000
311001111200010100
43132000003000
5104344234120
65435202400
71304442051
oct336000300
9131450110
1058196160
112a939700
12175a6400
13c097bc9
147a2c728
155198490
hex37800c0

58196160 has 252 divisors, whose sum is σ = 221339664. Its totient is φ = 14023680.

The previous prime is 58196147. The next prime is 58196161. The reversal of 58196160 is 6169185.

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

It is not an unprimeable number, because it can be changed into a prime (58196161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 348397 + ... + 348563.

It is an arithmetic number, because the mean of its divisors is an integer number (878332).

Almost surely, 258196160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110669832).

58196160 is an abundant number, since it is smaller than the sum of its proper divisors (163143504).

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

58196160 is a wasteful number, since it uses less digits than its factorization.

58196160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 58196160 is about 7628.6407701503. The cubic root of 58196160 is about 387.5235587480.

The spelling of 58196160 in words is "fifty-eight million, one hundred ninety-six thousand, one hundred sixty".