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455057120 = 2557258043
BaseRepresentation
bin11011000111111…
…001111011100000
31011201021022000102
4123013321323200
51412443311440
6113053241532
714163631100
oct3307717340
91151238012
10455057120
11213960171
121084932a8
137337a78b
1444617200
1529e3bb15
hex1b1f9ee0

455057120 has 72 divisors (see below), whose sum is σ = 1250616024. Its totient is φ = 156016896.

The previous prime is 455057077. The next prime is 455057123. The reversal of 455057120 is 21750554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455057123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21182 + ... + 36861.

It is an arithmetic number, because the mean of its divisors is an integer number (17369667).

Almost surely, 2455057120 is an apocalyptic number.

455057120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

455057120 is an abundant number, since it is smaller than the sum of its proper divisors (795558904).

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

455057120 is a wasteful number, since it uses less digits than its factorization.

455057120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58072 (or 58057 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 29.

The square root of 455057120 is about 21332.0678791345. The cubic root of 455057120 is about 769.1693521836.

It can be divided in two parts, 45505 and 7120, that added together give a palindrome (52625).

The spelling of 455057120 in words is "four hundred fifty-five million, fifty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 58043 116086 232172 290215 406301 464344 580430 812602 928688 1160860 1625204 1857376 2031505 2321720 2844107 3250408 4063010 4643440 5688214 6500816 8126020 9286880 11376428 13001632 14220535 16252040 22752856 28441070 32504080 45505712 56882140 65008160 91011424 113764280 227528560 455057120