Search a number
-
+
451235040 = 2535940073
BaseRepresentation
bin11010111001010…
…100110011100000
31011110002010002220
4122321110303200
51411004010130
6112435311040
714116302024
oct3271246340
91143063086
10451235040
1121178a623
1210714b480
137263cba9
1443d00384
1529934410
hex1ae54ce0

451235040 has 48 divisors (see below), whose sum is σ = 1421391888. Its totient is φ = 120329216.

The previous prime is 451235011. The next prime is 451235051. The reversal of 451235040 is 40532154.

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

It is a super-2 number, since 2×4512350402 = 407226122647603200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 451235040.

It is a congruent number.

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, 469557 + ... + 470516.

It is an arithmetic number, because the mean of its divisors is an integer number (29612331).

Almost surely, 2451235040 is an apocalyptic number.

451235040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

451235040 is an abundant number, since it is smaller than the sum of its proper divisors (970156848).

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

451235040 is a wasteful number, since it uses less digits than its factorization.

451235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940091 (or 940083 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 451235040 is about 21242.2936614670. The cubic root of 451235040 is about 767.0098459413.

Adding to 451235040 its reverse (40532154), we get a palindrome (491767194).

The spelling of 451235040 in words is "four hundred fifty-one million, two hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 940073 1880146 2820219 3760292 4700365 5640438 7520584 9400730 11280876 14101095 15041168 18801460 22561752 28202190 30082336 37602920 45123504 56404380 75205840 90247008 112808760 150411680 225617520 451235040