Search a number
-
+
68934996 = 223313371327
BaseRepresentation
bin1000001101111…
…01110101010100
311210201021001000
410012331311110
5120121404441
610501303300
71464636444
oct406756524
9153637030
1068934996
1135a03979
121b104b30
1311387b50
149226124
1560ba2b6
hex41bdd54

68934996 has 96 divisors (see below), whose sum is σ = 197818880. Its totient is φ = 20621952.

The previous prime is 68934967. The next prime is 68934997. The reversal of 68934996 is 69943986.

It is a happy number.

68934996 is a `hidden beast` number, since 68 + 93 + 499 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68934997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51285 + ... + 52611.

Almost surely, 268934996 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 68934996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98909440).

68934996 is an abundant number, since it is smaller than the sum of its proper divisors (128883884).

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

68934996 is a wasteful number, since it uses less digits than its factorization.

68934996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1382 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 68934996 is about 8302.7101599418. The cubic root of 68934996 is about 410.0277514430.

The spelling of 68934996 in words is "sixty-eight million, nine hundred thirty-four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 74 78 108 111 117 148 156 222 234 333 351 444 468 481 666 702 962 999 1327 1332 1404 1443 1924 1998 2654 2886 3981 3996 4329 5308 5772 7962 8658 11943 12987 15924 17251 17316 23886 25974 34502 35829 47772 49099 51753 51948 69004 71658 98198 103506 143316 147297 155259 196396 207012 294594 310518 441891 465777 589188 621036 638287 883782 931554 1276574 1325673 1767564 1863108 1914861 2553148 2651346 3829722 5302692 5744583 7659444 11489166 17233749 22978332 34467498 68934996