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455112320 = 27513192879
BaseRepresentation
bin11011001000000…
…111011010000000
31011201101002201212
4123020013122000
51413002043240
6113054345252
714164251035
oct3310073200
91151332655
10455112320
11213998693
121084bb228
1373399940
144462d38c
1529e4d165
hex1b207680

455112320 has 128 divisors (see below), whose sum is σ = 1233792000. Its totient is φ = 159141888.

The previous prime is 455112299. The next prime is 455112337. The reversal of 455112320 is 23211554.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156641 + ... + 159519.

It is an arithmetic number, because the mean of its divisors is an integer number (9639000).

Almost surely, 2455112320 is an apocalyptic number.

455112320 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 455112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616896000).

455112320 is an abundant number, since it is smaller than the sum of its proper divisors (778679680).

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

455112320 is a wasteful number, since it uses less digits than its factorization.

455112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 455112320 is about 21333.3616666479. The cubic root of 455112320 is about 769.2004518923.

Adding to 455112320 its reverse (23211554), we get a palindrome (478323874).

The spelling of 455112320 in words is "four hundred fifty-five million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 64 65 76 80 95 104 128 130 152 160 190 208 247 260 304 320 380 416 494 520 608 640 760 832 988 1040 1216 1235 1520 1664 1976 2080 2432 2470 2879 3040 3952 4160 4940 5758 6080 7904 8320 9880 11516 12160 14395 15808 19760 23032 28790 31616 37427 39520 46064 54701 57580 74854 79040 92128 109402 115160 149708 158080 184256 187135 218804 230320 273505 299416 368512 374270 437608 460640 547010 598832 711113 748540 875216 921280 1094020 1197664 1422226 1497080 1750432 1842560 2188040 2395328 2844452 2994160 3500864 3555565 4376080 4790656 5688904 5988320 7001728 7111130 8752160 11377808 11976640 14222260 17504320 22755616 23953280 28444520 35008640 45511232 56889040 91022464 113778080 227556160 455112320