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67061742 = 23113173449
BaseRepresentation
bin1111111111010…
…0011111101110
311200012002102020
43333310133232
5114131433432
610353211010
71443005166
oct377643756
9150162366
1067061742
1134944530
121a560a66
1310b80307
148c995a6
155d4a22c
hex3ff47ee

67061742 has 64 divisors (see below), whose sum is σ = 153446400. Its totient is φ = 19353600.

The previous prime is 67061713. The next prime is 67061747. The reversal of 67061742 is 24716076.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67061747) 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, 149134 + ... + 149582.

It is an arithmetic number, because the mean of its divisors is an integer number (2397600).

Almost surely, 267061742 is an apocalyptic number.

67061742 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 67061742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76723200).

67061742 is an abundant number, since it is smaller than the sum of its proper divisors (86384658).

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

67061742 is a wasteful number, since it uses less digits than its factorization.

67061742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569.

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 67061742 is about 8189.1233963105. The cubic root of 67061742 is about 406.2795319912.

It can be divided in two parts, 6706 and 1742, that added together give a palindrome (8448).

The spelling of 67061742 in words is "sixty-seven million, sixty-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 73 93 146 186 219 341 438 449 682 803 898 1023 1347 1606 2046 2263 2409 2694 4526 4818 4939 6789 9878 13578 13919 14817 24893 27838 29634 32777 41757 49786 65554 74679 83514 98331 149358 153109 196662 306218 360547 459327 721094 918654 1016087 1081641 2032174 2163282 3048261 6096522 11176957 22353914 33530871 67061742