Search a number
-
+
68141007 = 3411312467
BaseRepresentation
bin1000000111110…
…11111111001111
311202012220220000
410003323333033
5114421003012
610432255343
71455121554
oct403737717
9152186800
1068141007
1135511390
121a9a1553
131116a62c
14909aa2b
155eaeddc
hex40fbfcf

68141007 has 40 divisors (see below), whose sum is σ = 114673152. Its totient is φ = 39949200.

The previous prime is 68140991. The next prime is 68141027. The reversal of 68141007 is 70014186.

It is a happy number.

It is not a de Polignac number, because 68141007 - 24 = 68140991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68141027) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26388 + ... + 28854.

Almost surely, 268141007 is an apocalyptic number.

68141007 is a deficient number, since it is larger than the sum of its proper divisors (46532145).

68141007 is a wasteful number, since it uses less digits than its factorization.

68141007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 68141007 is about 8254.7566287565. The cubic root of 68141007 is about 408.4474438083.

The spelling of 68141007 in words is "sixty-eight million, one hundred forty-one thousand, seven".

Divisors: 1 3 9 11 27 31 33 81 93 99 279 297 341 837 891 1023 2467 2511 3069 7401 9207 22203 27137 27621 66609 76477 81411 199827 229431 244233 688293 732699 841247 2064879 2198097 2523741 6194637 7571223 22713669 68141007