Search a number
-
+
456270 = 23567227
BaseRepresentation
bin1101111011001001110
3212011212220
41233121032
5104100040
613440210
73610143
oct1573116
9764786
10456270
11291891
121a0066
1312c8a9
14bc3ca
15902d0
hex6f64e

456270 has 32 divisors (see below), whose sum is σ = 1116288. Its totient is φ = 119328.

The previous prime is 456241. The next prime is 456283. The reversal of 456270 is 72654.

It is a happy number.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 456270.

It is a congruent number.

It is an unprimeable number.

456270 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 15 ways as a sum of consecutive naturals, for example, 1897 + ... + 2123.

It is an arithmetic number, because the mean of its divisors is an integer number (34884).

2456270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558144).

456270 is an abundant number, since it is smaller than the sum of its proper divisors (660018).

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

456270 is a wasteful number, since it uses less digits than its factorization.

456270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304.

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 456270 is about 675.4776088073. The cubic root of 456270 is about 76.9852110800.

The spelling of 456270 in words is "four hundred fifty-six thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 227 335 402 454 670 681 1005 1135 1362 2010 2270 3405 6810 15209 30418 45627 76045 91254 152090 228135 456270