Search a number
-
+
67118142 = 237213171033
BaseRepresentation
bin1000000000000…
…10010000111110
311200021221210010
410000002100332
5114140240032
610354324050
71443331500
oct400022076
9150257703
1067118142
1134982943
121a589626
1310b9cba0
148cb1d70
155d5bccc
hex400243e

67118142 has 96 divisors (see below), whose sum is σ = 178228512. Its totient is φ = 16644096.

The previous prime is 67118113. The next prime is 67118143. The reversal of 67118142 is 24181176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67118143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64458 + ... + 65490.

It is an arithmetic number, because the mean of its divisors is an integer number (1856547).

Almost surely, 267118142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67118142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89114256).

67118142 is an abundant number, since it is smaller than the sum of its proper divisors (111110370).

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

67118142 is a wasteful number, since it uses less digits than its factorization.

67118142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1075 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 67118142 is about 8192.5662646084. The cubic root of 67118142 is about 406.3933959430.

The spelling of 67118142 in words is "sixty-seven million, one hundred eighteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 49 51 78 91 98 102 119 147 182 221 238 273 294 357 442 546 637 663 714 833 1033 1274 1326 1547 1666 1911 2066 2499 3094 3099 3822 4641 4998 6198 7231 9282 10829 13429 14462 17561 21658 21693 26858 32487 35122 40287 43386 50617 52683 64974 80574 94003 101234 105366 122927 151851 188006 228293 245854 282009 303702 368781 456586 564018 658021 684879 737562 860489 1316042 1369758 1598051 1720978 1974063 2581467 3196102 3948126 4794153 5162934 9588306 11186357 22372714 33559071 67118142