[go: up one dir, main page]

Search a number
-
+
67750506 = 2341133701
BaseRepresentation
bin1000000100111…
…00101001101010
311201111002020000
410002130221222
5114321004011
610420043430
71451604225
oct402345152
9151432200
1067750506
1135274a5a
121a833576
1311061975
148dd85bc
155e34356
hex409ca6a

67750506 has 40 divisors (see below), whose sum is σ = 153196164. Its totient is φ = 22377600.

The previous prime is 67750481. The next prime is 67750513. The reversal of 67750506 is 60505776.

It can be written as a sum of positive squares in 2 ways, for example, as 58660281 + 9090225 = 7659^2 + 3015^2 .

It is a super-3 number, since 3×677505063 (a number of 24 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16456 + ... + 20156.

Almost surely, 267750506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67750506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76598082).

67750506 is an abundant number, since it is smaller than the sum of its proper divisors (85445658).

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

67750506 is a wasteful number, since it uses less digits than its factorization.

67750506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 67750506 is about 8231.0695538308. The cubic root of 67750506 is about 407.6657080089.

The spelling of 67750506 in words is "sixty-seven million, seven hundred fifty thousand, five hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 113 162 226 339 678 1017 2034 3051 3701 6102 7402 9153 11103 18306 22206 33309 66618 99927 199854 299781 418213 599562 836426 1254639 2509278 3763917 7527834 11291751 22583502 33875253 67750506