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454145140 = 225176771973
BaseRepresentation
bin11011000100011…
…011010001110100
31011122112222000101
4123010123101310
51412230121030
6113021523444
714153112211
oct3304332164
91148488011
10454145140
11213397a69
12108113584
137311b647
144445ab08
1529d0b7ca
hex1b11b474

454145140 has 48 divisors (see below), whose sum is σ = 1011809232. Its totient is φ = 170633216.

The previous prime is 454145137. The next prime is 454145147. The reversal of 454145140 is 41541454.

It can be written as a sum of positive squares in 8 ways, for example, as 34550884 + 419594256 = 5878^2 + 20484^2 .

It is a junction number, because it is equal to n+sod(n) for n = 454145099 and 454145108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454145147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229194 + ... + 231166.

It is an arithmetic number, because the mean of its divisors is an integer number (21079359).

Almost surely, 2454145140 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 454145140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505904616).

454145140 is an abundant number, since it is smaller than the sum of its proper divisors (557664092).

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

454145140 is a wasteful number, since it uses less digits than its factorization.

454145140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 454145140 is about 21310.6813593559. The cubic root of 454145140 is about 768.6551777641.

Adding to 454145140 its reverse (41541454), we get a palindrome (495686594).

The spelling of 454145140 in words is "four hundred fifty-four million, one hundred forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 677 1354 1973 2708 3385 3946 6770 7892 9865 11509 13540 19730 23018 33541 39460 46036 57545 67082 115090 134164 167705 230180 335410 670820 1335721 2671442 5342884 6678605 13357210 22707257 26714420 45414514 90829028 113536285 227072570 454145140