Search a number
-
+
67416712 = 23111961661
BaseRepresentation
bin1000000010010…
…11001010001000
311200212010100021
410001023022020
5114224313322
610404550224
71446014116
oct401131210
9150763307
1067416712
11350671a0
121a6b2374
1310c75a5c
148d4cab6
155dba4c7
hex404b288

67416712 has 64 divisors (see below), whose sum is σ = 147758400. Its totient is φ = 28512000.

The previous prime is 67416709. The next prime is 67416737. The reversal of 67416712 is 21761476.

It is a happy number.

It is a super-4 number, since 4×674167124 (a number of 32 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101662 + ... + 102322.

It is an arithmetic number, because the mean of its divisors is an integer number (2308725).

Almost surely, 267416712 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 67416712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73879200).

67416712 is an abundant number, since it is smaller than the sum of its proper divisors (80341688).

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

67416712 is a wasteful number, since it uses less digits than its factorization.

67416712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 754 counting only the distinct ones).

The product of its digits is 14112, while the sum is 34.

The square root of 67416712 is about 8210.7680517720. The cubic root of 67416712 is about 406.9951080714.

The spelling of 67416712 in words is "sixty-seven million, four hundred sixteen thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 61 76 88 122 152 209 244 418 488 661 671 836 1159 1322 1342 1672 2318 2644 2684 4636 5288 5368 7271 9272 12559 12749 14542 25118 25498 29084 40321 50236 50996 58168 80642 100472 101992 138149 161284 276298 322568 443531 552596 766099 887062 1105192 1532198 1774124 3064396 3548248 6128792 8427089 16854178 33708356 67416712