Search a number
-
+
67390596 = 22337136857
BaseRepresentation
bin1000000010001…
…00110010000100
311200210210112000
410001010302010
5114222444341
610404225300
71445545020
oct401046204
9150723460
1067390596
1135049609
121a69b230
1310c66bc0
148d43380
155db28b6
hex4044c84

67390596 has 96 divisors (see below), whose sum is σ = 215066880. Its totient is φ = 17770752.

The previous prime is 67390571. The next prime is 67390619. The reversal of 67390596 is 69509376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6400 + ... + 13256.

It is an arithmetic number, because the mean of its divisors is an integer number (2240280).

Almost surely, 267390596 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 67390596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107533440).

67390596 is an abundant number, since it is smaller than the sum of its proper divisors (147676284).

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

67390596 is a wasteful number, since it uses less digits than its factorization.

67390596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6890 (or 6882 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 67390596 is about 8209.1775471115. The cubic root of 67390596 is about 406.9425471325.

The spelling of 67390596 in words is "sixty-seven million, three hundred ninety thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 6857 9828 13714 20571 27428 41142 47999 61713 82284 89141 95998 123426 143997 178282 185139 191996 246852 267423 287994 356564 370278 431991 534846 575988 623987 740556 802269 863982 1069692 1247974 1295973 1604538 1727964 1871961 2406807 2495948 2591946 3209076 3743922 4813614 5183892 5615883 7487844 9627228 11231766 16847649 22463532 33695298 67390596