Search a number
-
+
68176192 = 267314909
BaseRepresentation
bin1000001000001…
…00100101000000
311202021201011011
410010010211000
5114423114232
610433130304
71455326260
oct404044500
9152251134
1068176192
1135535867
121a9b9994
1311180656
1490a97a0
155eba547
hex4104940

68176192 has 56 divisors (see below), whose sum is σ = 159633920. Its totient is φ = 28270080.

The previous prime is 68176183. The next prime is 68176193. The reversal of 68176192 is 29167186.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68176193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11434 + ... + 16342.

Almost surely, 268176192 is an apocalyptic number.

68176192 is a gapful number since it is divisible by the number (62) 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 68176192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79816960).

68176192 is an abundant number, since it is smaller than the sum of its proper divisors (91457728).

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

68176192 is a wasteful number, since it uses less digits than its factorization.

68176192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4959 (or 4949 counting only the distinct ones).

The product of its digits is 36288, while the sum is 40.

The square root of 68176192 is about 8256.8875491919. The cubic root of 68176192 is about 408.5177331055.

The spelling of 68176192 in words is "sixty-eight million, one hundred seventy-six thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 4909 6944 9818 13888 19636 34363 39272 68726 78544 137452 152179 157088 274904 304358 314176 549808 608716 1065253 1099616 1217432 2130506 2199232 2434864 4261012 4869728 8522024 9739456 17044048 34088096 68176192