Search a number
-
+
70641376 = 2513473613
BaseRepresentation
bin1000011010111…
…10011011100000
311220220221202021
410031132123200
5121041011001
611002031224
71515304351
oct415363340
9156827667
1070641376
1136969a03
121b7a8514
1311834740
14954bd28
156305ba1
hex435e6e0

70641376 has 48 divisors (see below), whose sum is σ = 153002304. Its totient is φ = 31901184.

The previous prime is 70641353. The next prime is 70641377. The reversal of 70641376 is 67314607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70641377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17746 + ... + 21358.

It is an arithmetic number, because the mean of its divisors is an integer number (3187548).

Almost surely, 270641376 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 70641376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76501152).

70641376 is an abundant number, since it is smaller than the sum of its proper divisors (82360928).

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

70641376 is a wasteful number, since it uses less digits than its factorization.

70641376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683 (or 3675 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 70641376 is about 8404.8424137517. The cubic root of 70641376 is about 413.3834162922.

It can be divided in two parts, 70641 and 376, that added together give a palindrome (71017).

The spelling of 70641376 in words is "seventy million, six hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 47 52 94 104 188 208 376 416 611 752 1222 1504 2444 3613 4888 7226 9776 14452 19552 28904 46969 57808 93938 115616 169811 187876 339622 375752 679244 751504 1358488 1503008 2207543 2716976 4415086 5433952 8830172 17660344 35320688 70641376