Search a number
-
+
70308 = 2234731
BaseRepresentation
bin10001001010100100
310120110000
4101022210
54222213
61301300
7411660
oct211244
9116400
1070308
1148907
1234830
1326004
141b8a0
1515c73
hex112a4

70308 has 60 divisors (see below), whose sum is σ = 216832. Its totient is φ = 19440.

The previous prime is 70297. The next prime is 70309. The reversal of 70308 is 80307.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 70308.

It is not an unprimeable number, because it can be changed into a prime (70309) by changing a digit.

70308 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2253 + ... + 2283.

270308 is an apocalyptic number.

70308 is the 168-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108416).

70308 is an abundant number, since it is smaller than the sum of its proper divisors (146524).

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

70308 is a wasteful number, since it uses less digits than its factorization.

70308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 70308 is about 265.1565575278. The cubic root of 70308 is about 41.2732100785.

Subtracting 70308 from its reverse (80307), we obtain a palindrome (9999).

It can be divided in two parts, 70 and 308, that added together give a triangular number (378 = T27).

The spelling of 70308 in words is "seventy thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 108 124 126 162 186 189 217 252 279 324 372 378 434 558 567 651 756 837 868 1116 1134 1302 1674 1953 2268 2511 2604 3348 3906 5022 5859 7812 10044 11718 17577 23436 35154 70308