Search a number
-
+
97417116 = 223225110781
BaseRepresentation
bin1011100111001…
…11011110011100
320210022022011100
411303213132130
5144414321431
613355553100
72262013626
oct563473634
9223268140
1097417116
114aa97a15
122875b790
131724ac84
14cd1bc16
1588444e6
hex5ce779c

97417116 has 36 divisors (see below), whose sum is σ = 247252824. Its totient is φ = 32340000.

The previous prime is 97417109. The next prime is 97417139. The reversal of 97417116 is 61171479.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3646 + ... + 14426.

It is an arithmetic number, because the mean of its divisors is an integer number (6868134).

Almost surely, 297417116 is an apocalyptic number.

It is an amenable number.

97417116 is an abundant number, since it is smaller than the sum of its proper divisors (149835708).

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

97417116 is a wasteful number, since it uses less digits than its factorization.

97417116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11042 (or 11037 counting only the distinct ones).

The product of its digits is 10584, while the sum is 36.

The square root of 97417116 is about 9870.0109422432. The cubic root of 97417116 is about 460.1277464988.

The spelling of 97417116 in words is "ninety-seven million, four hundred seventeen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 251 502 753 1004 1506 2259 3012 4518 9036 10781 21562 32343 43124 64686 97029 129372 194058 388116 2706031 5412062 8118093 10824124 16236186 24354279 32472372 48708558 97417116