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455040120 = 2335191091831
BaseRepresentation
bin11011000111110…
…101110001111000
31011201020102200210
4123013311301320
51412442240440
6113053031120
714163530403
oct3307656170
91151212623
10455040120
11213949417
121084854a0
1373372b12
1444610d3a
1529e36a80
hex1b1f5c78

455040120 has 128 divisors (see below), whose sum is σ = 1450944000. Its totient is φ = 113840640.

The previous prime is 455040107. The next prime is 455040121. The reversal of 455040120 is 21040554.

It is a super-2 number, since 2×4550401202 = 414123021619228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455040121) 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 31 ways as a sum of consecutive naturals, for example, 247605 + ... + 249435.

It is an arithmetic number, because the mean of its divisors is an integer number (11335500).

Almost surely, 2455040120 is an apocalyptic number.

455040120 is a gapful number since it is divisible by the number (40) 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 455040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725472000).

455040120 is an abundant number, since it is smaller than the sum of its proper divisors (995903880).

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

455040120 is a wasteful number, since it uses less digits than its factorization.

455040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 455040120 is about 21331.6694142770. The cubic root of 455040120 is about 769.1597738683.

Adding to 455040120 its reverse (21040554), we get a palindrome (476080674).

The spelling of 455040120 in words is "four hundred fifty-five million, forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 109 114 120 152 190 218 228 285 327 380 436 456 545 570 654 760 872 1090 1140 1308 1635 1831 2071 2180 2280 2616 3270 3662 4142 4360 5493 6213 6540 7324 8284 9155 10355 10986 12426 13080 14648 16568 18310 20710 21972 24852 27465 31065 34789 36620 41420 43944 49704 54930 62130 69578 73240 82840 104367 109860 124260 139156 173945 199579 208734 219720 248520 278312 347890 399158 417468 521835 598737 695780 798316 834936 997895 1043670 1197474 1391560 1596632 1995790 2087340 2394948 2993685 3792001 3991580 4174680 4789896 5987370 7584002 7983160 11376003 11974740 15168004 18960005 22752006 23949480 30336008 37920010 45504012 56880015 75840020 91008024 113760030 151680040 227520060 455040120