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70671328 = 2572133467
BaseRepresentation
bin1000011011001…
…01101111100000
311220222110211121
410031211233200
5121042440303
611002422024
71515460600
oct415455740
9156873747
1070671328
113698a462
121b801914
1311845270
149558c00
15630e9bd
hex4365be0

70671328 has 72 divisors (see below), whose sum is σ = 174350232. Its totient is φ = 27949824.

The previous prime is 70671323. The next prime is 70671361. The reversal of 70671328 is 82317607.

It is a junction number, because it is equal to n+sod(n) for n = 70671293 and 70671302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70671323) 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 11 ways as a sum of consecutive naturals, for example, 18651 + ... + 22117.

It is an arithmetic number, because the mean of its divisors is an integer number (2421531).

Almost surely, 270671328 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 70671328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87175116).

70671328 is an abundant number, since it is smaller than the sum of its proper divisors (103678904).

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

70671328 is a wasteful number, since it uses less digits than its factorization.

70671328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 70671328 is about 8406.6240548748. The cubic root of 70671328 is about 413.4418330033.

The spelling of 70671328 in words is "seventy million, six hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1274 1456 1568 2548 2912 3467 5096 6934 10192 13868 20384 24269 27736 45071 48538 55472 90142 97076 110944 169883 180284 194152 315497 339766 360568 388304 630994 679532 721136 776608 1261988 1359064 1442272 2208479 2523976 2718128 4416958 5047952 5436256 8833916 10095904 17667832 35335664 70671328