Search a number
-
+
67137084 = 22327266417
BaseRepresentation
bin1000000000001…
…10111000111100
311200022220202200
410000012320330
5114141341314
610354551500
71443440640
oct400067074
9150286680
1067137084
11349960a3
121a598590
1310ba86b1
148cb8c20
155d62709
hex4006e3c

67137084 has 36 divisors (see below), whose sum is σ = 193952304. Its totient is φ = 19181952.

The previous prime is 67137079. The next prime is 67137157. The reversal of 67137084 is 48073176.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132957 + ... + 133460.

It is an arithmetic number, because the mean of its divisors is an integer number (5387564).

Almost surely, 267137084 is an apocalyptic number.

It is an amenable number.

67137084 is an abundant number, since it is smaller than the sum of its proper divisors (126815220).

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

67137084 is a wasteful number, since it uses less digits than its factorization.

67137084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266434 (or 266429 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 67137084 is about 8193.7222310742. The cubic root of 67137084 is about 406.4316229629.

The spelling of 67137084 in words is "sixty-seven million, one hundred thirty-seven thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 266417 532834 799251 1065668 1598502 1864919 2397753 3197004 3729838 4795506 5594757 7459676 9591012 11189514 16784271 22379028 33568542 67137084