Search a number
-
+
97403712 = 2637232137
BaseRepresentation
bin1011100111001…
…00001101000000
320210021121202220
411303210031000
5144413404322
613355411040
72261626560
oct563441500
9223247686
1097403712
114aa8893a
1228753a80
1317244b43
14cd16da0
15884055c
hex5ce4340

97403712 has 168 divisors, whose sum is σ = 310140096. Its totient is φ = 26425344.

The previous prime is 97403699. The next prime is 97403717. The reversal of 97403712 is 21730479.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×974037122 = 18974966222757888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97403717) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 710908 + ... + 711044.

It is an arithmetic number, because the mean of its divisors is an integer number (1846072).

Almost surely, 297403712 is an apocalyptic number.

97403712 is a gapful number since it is divisible by the number (92) 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 97403712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155070048).

97403712 is an abundant number, since it is smaller than the sum of its proper divisors (212736384).

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

97403712 is a wasteful number, since it uses less digits than its factorization.

97403712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 97403712 is about 9869.3318922813. The cubic root of 97403712 is about 460.1066419419.

The spelling of 97403712 in words is "ninety-seven million, four hundred three thousand, seven hundred twelve".