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1450254040 = 235192922269
BaseRepresentation
bin101011001110001…
…0001111011011000
310202001220112112121
41112130101323120
510432231112130
6355523551024
750636645614
oct12634217330
93661815477
101450254040
116846a3364
1234582b474
131a15c56b1
14da874344
15874bed7a
hex56711ed8

1450254040 has 96 divisors (see below), whose sum is σ = 3558906000. Its totient is φ = 530385408.

The previous prime is 1450254007. The next prime is 1450254041. The reversal of 1450254040 is 404520541.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1450253996 and 1450254014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1450254041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 638026 + ... + 640294.

Almost surely, 21450254040 is an apocalyptic number.

1450254040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1450254040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779453000).

1450254040 is an abundant number, since it is smaller than the sum of its proper divisors (2108651960).

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

1450254040 is a wasteful number, since it uses less digits than its factorization.

1450254040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 1450254040 is about 38082.2010918487. The cubic root of 1450254040 is about 1131.9172922129.

Adding to 1450254040 its reverse (404520541), we get a palindrome (1854774581).

The spelling of 1450254040 in words is "one billion, four hundred fifty million, two hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 58 76 95 116 145 152 190 232 290 380 551 580 760 841 1102 1160 1682 2204 2269 2755 3364 4205 4408 4538 5510 6728 8410 9076 11020 11345 15979 16820 18152 22040 22690 31958 33640 43111 45380 63916 65801 79895 86222 90760 127832 131602 159790 172444 215555 263204 319580 329005 344888 431110 526408 639160 658010 862220 1250219 1316020 1724440 1908229 2500438 2632040 3816458 5000876 6251095 7632916 9541145 10001752 12502190 15265832 19082290 25004380 36256351 38164580 50008760 72512702 76329160 145025404 181281755 290050808 362563510 725127020 1450254040