Search a number
-
+
68029936 = 24132139181
BaseRepresentation
bin1000000111000…
…00110111110000
311202000021112021
410003200313300
5114403424221
610430041224
71454150002
oct403406760
9152007467
1068029936
1135445997
121a949214
131112bc00
14906c372
155e8c041
hex40e0df0

68029936 has 60 divisors (see below), whose sum is σ = 144548040. Its totient is φ = 31000320.

The previous prime is 68029933. The next prime is 68029961. The reversal of 68029936 is 63992086.

It is a junction number, because it is equal to n+sod(n) for n = 68029892 and 68029901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68029933) 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 11 ways as a sum of consecutive naturals, for example, 375766 + ... + 375946.

It is an arithmetic number, because the mean of its divisors is an integer number (2409134).

Almost surely, 268029936 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 68029936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72274020).

68029936 is an abundant number, since it is smaller than the sum of its proper divisors (76518104).

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

68029936 is a wasteful number, since it uses less digits than its factorization.

68029936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 68029936 is about 8248.0261881253. The cubic root of 68029936 is about 408.2253976922.

The spelling of 68029936 in words is "sixty-eight million, twenty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 139 169 181 208 278 338 362 556 676 724 1112 1352 1448 1807 2224 2353 2704 2896 3614 4706 7228 9412 14456 18824 23491 25159 28912 30589 37648 46982 50318 61178 93964 100636 122356 187928 201272 244712 327067 375856 402544 489424 654134 1308268 2616536 4251871 5233072 8503742 17007484 34014968 68029936