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70928 = 24111331
BaseRepresentation
bin10001010100010000
310121021222
4101110100
54232203
61304212
7413534
oct212420
9117258
1070928
1149320
1235068
1326390
141bbc4
1516038
hex11510

70928 has 40 divisors (see below), whose sum is σ = 166656. Its totient is φ = 28800.

The previous prime is 70921. The next prime is 70937. The reversal of 70928 is 82907.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 70897 and 70906.

It is not an unprimeable number, because it can be changed into a prime (70921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2273 + ... + 2303.

270928 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 70928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83328).

70928 is an abundant number, since it is smaller than the sum of its proper divisors (95728).

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

70928 is a wasteful number, since it uses less digits than its factorization.

70928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 70928 is about 266.3231120275. The cubic root of 70928 is about 41.3941756297.

It can be divided in two parts, 709 and 28, that added together give a palindrome (737).

The spelling of 70928 in words is "seventy thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 31 44 52 62 88 104 124 143 176 208 248 286 341 403 496 572 682 806 1144 1364 1612 2288 2728 3224 4433 5456 6448 8866 17732 35464 70928