Search a number
-
+
455136 = 25311431
BaseRepresentation
bin1101111000111100000
3212010022220
41233013200
5104031021
613431040
73603633
oct1570740
9763286
10455136
11290a50
1219b480
1312c216
14bbc1a
158ecc6
hex6f1e0

455136 has 48 divisors (see below), whose sum is σ = 1306368. Its totient is φ = 137600.

The previous prime is 455123. The next prime is 455149. The reversal of 455136 is 631554.

It is an interprime number because it is at equal distance from previous prime (455123) and next prime (455149).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 455136.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 841 + ... + 1271.

It is an arithmetic number, because the mean of its divisors is an integer number (27216).

2455136 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 455136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184).

455136 is an abundant number, since it is smaller than the sum of its proper divisors (851232).

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

455136 is a wasteful number, since it uses less digits than its factorization.

455136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 447 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 455136 is about 674.6376805367. The cubic root of 455136 is about 76.9213792446.

The spelling of 455136 in words is "four hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 431 528 862 1056 1293 1724 2586 3448 4741 5172 6896 9482 10344 13792 14223 18964 20688 28446 37928 41376 56892 75856 113784 151712 227568 455136