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454064 = 24133759
BaseRepresentation
bin1101110110110110000
3212001212012
41232312300
5104012224
613422052
73600542
oct1566660
9761765
10454064
11290166
1219a928
1312b8a0
14bb692
158e80e
hex6edb0

454064 has 40 divisors (see below), whose sum is σ = 989520. Its totient is φ = 200448.

The previous prime is 454063. The next prime is 454079. The reversal of 454064 is 460454.

It is a happy number.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 454064.

It is not an unprimeable number, because it can be changed into a prime (454061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7667 + ... + 7725.

It is an arithmetic number, because the mean of its divisors is an integer number (24738).

2454064 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 454064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494760).

454064 is an abundant number, since it is smaller than the sum of its proper divisors (535456).

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

454064 is a wasteful number, since it uses less digits than its factorization.

454064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 454064 is about 673.8427116175. The cubic root of 454064 is about 76.8609397689.

The spelling of 454064 in words is "four hundred fifty-four thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 37 52 59 74 104 118 148 208 236 296 472 481 592 767 944 962 1534 1924 2183 3068 3848 4366 6136 7696 8732 12272 17464 28379 34928 56758 113516 227032 454064