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455141430 = 23551571193
BaseRepresentation
bin11011001000001…
…110100000110110
31011201102120200000
4123020032200312
51413004011210
6113055132130
714164431642
oct3310164066
91151376600
10455141430
11213a08547
12108514046
13733a9c73
1444639c22
1529e56ac0
hex1b20e836

455141430 has 96 divisors (see below), whose sum is σ = 1236047904. Its totient is φ = 120496896.

The previous prime is 455141429. The next prime is 455141471. The reversal of 455141430 is 34141554.

It is a happy number.

455141430 is a `hidden beast` number, since 4 + 5 + 514 + 143 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 455141394 and 455141403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380914 + ... + 382106.

It is an arithmetic number, because the mean of its divisors is an integer number (12875499).

Almost surely, 2455141430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455141430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618023952).

455141430 is an abundant number, since it is smaller than the sum of its proper divisors (780906474).

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

455141430 is a wasteful number, since it uses less digits than its factorization.

455141430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 455141430 is about 21334.0439204573. The cubic root of 455141430 is about 769.2168514687.

Adding to 455141430 its reverse (34141554), we get a palindrome (489282984).

The spelling of 455141430 in words is "four hundred fifty-five million, one hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 157 162 243 270 314 405 471 486 785 810 942 1193 1215 1413 1570 2355 2386 2430 2826 3579 4239 4710 5965 7065 7158 8478 10737 11930 12717 14130 17895 21195 21474 25434 32211 35790 38151 42390 53685 63585 64422 76302 96633 107370 127170 161055 187301 190755 193266 289899 322110 374602 381510 483165 561903 579798 936505 966330 1123806 1449495 1685709 1873010 2809515 2898990 3371418 5057127 5619030 8428545 10114254 15171381 16857090 25285635 30342762 45514143 50571270 75856905 91028286 151713810 227570715 455141430