Search a number
-
+
97127216 = 2431593319
BaseRepresentation
bin1011100101000…
…00101100110000
320202202120111022
411302200230300
5144331032331
613345435012
72256365504
oct562405460
9222676438
1097127216
114a90a12a
122863ba68
1317179034
14cc84304
1587d867b
hex5ca0b30

97127216 has 40 divisors (see below), whose sum is σ = 197606400. Its totient is φ = 46186560.

The previous prime is 97127209. The next prime is 97127227. The reversal of 97127216 is 61272179.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27605 + ... + 30923.

It is an arithmetic number, because the mean of its divisors is an integer number (4940160).

Almost surely, 297127216 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 97127216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98803200).

97127216 is an abundant number, since it is smaller than the sum of its proper divisors (100479184).

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

97127216 is a wasteful number, since it uses less digits than its factorization.

97127216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417 (or 3411 counting only the distinct ones).

The product of its digits is 10584, while the sum is 35.

The square root of 97127216 is about 9855.3140995100. The cubic root of 97127216 is about 459.6708672693.

The spelling of 97127216 in words is "ninety-seven million, one hundred twenty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 31 59 62 118 124 236 248 472 496 944 1829 3319 3658 6638 7316 13276 14632 26552 29264 53104 102889 195821 205778 391642 411556 783284 823112 1566568 1646224 3133136 6070451 12140902 24281804 48563608 97127216