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1420442208 = 2532172231301
BaseRepresentation
bin101010010101010…
…0011101001100000
310122222210221101200
41110222203221200
510402113122313
6352541001200
750125362633
oct12452435140
93588727350
101420442208
11669891289
12337853200
13198388263
14d6913c1a
1584a81b73
hex54aa3a60

1420442208 has 144 divisors (see below), whose sum is σ = 4299474816. Its totient is φ = 443289600.

The previous prime is 1420442197. The next prime is 1420442213. The reversal of 1420442208 is 8022440241.

1420442208 is a `hidden beast` number, since 14 + 2 + 0 + 442 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 1091158 + ... + 1092458.

It is an arithmetic number, because the mean of its divisors is an integer number (29857464).

Almost surely, 21420442208 is an apocalyptic number.

1420442208 is a gapful number since it is divisible by the number (18) 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 1420442208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149737408).

1420442208 is an abundant number, since it is smaller than the sum of its proper divisors (2879032608).

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

1420442208 is a wasteful number, since it uses less digits than its factorization.

1420442208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 1420442208 is about 37688.7543970347. The cubic root of 1420442208 is about 1124.1075280336.

Adding to 1420442208 its reverse (8022440241), we get a palindrome (9442882449).

The spelling of 1420442208 in words is "one billion, four hundred twenty million, four hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 223 272 288 306 408 446 544 612 669 816 892 1224 1301 1338 1632 1784 2007 2448 2602 2676 3568 3791 3903 4014 4896 5204 5352 7136 7582 7806 8028 10408 10704 11373 11709 15164 15612 16056 20816 21408 22117 22746 23418 30328 31224 32112 34119 41632 44234 45492 46836 60656 62448 64224 66351 68238 88468 90984 93672 121312 124896 132702 136476 176936 181968 187344 199053 265404 272952 290123 353872 363936 374688 398106 530808 545904 580246 707744 796212 870369 1061616 1091808 1160492 1592424 1740738 2123232 2320984 2611107 3184848 3481476 4641968 4932091 5222214 6369696 6962952 9283936 9864182 10444428 13925904 14796273 19728364 20888856 27851808 29592546 39456728 41777712 44388819 59185092 78913456 83555424 88777638 118370184 157826912 177555276 236740368 355110552 473480736 710221104 1420442208