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1420454304 = 2532471011039
BaseRepresentation
bin101010010101010…
…0110100110100000
310122222211112222200
41110222212212200
510402114014204
6352541133200
750125443123
oct12452464640
93588745880
101420454304
1166989a385
1233785a200
13198390909
14d69183ba
1584a85539
hex54aa69a0

1420454304 has 144 divisors (see below), whose sum is σ = 4170216960. Its totient is φ = 458380800.

The previous prime is 1420454297. The next prime is 1420454311. The reversal of 1420454304 is 4034540241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1420454297) and next prime (1420454311).

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

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, 1366617 + ... + 1367655.

It is an arithmetic number, because the mean of its divisors is an integer number (28959840).

Almost surely, 21420454304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420454304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085108480).

1420454304 is an abundant number, since it is smaller than the sum of its proper divisors (2749762656).

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

1420454304 is a wasteful number, since it uses less digits than its factorization.

1420454304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 1420454304 is about 37688.9148689638. The cubic root of 1420454304 is about 1124.1107188629.

Adding to 1420454304 its reverse (4034540241), we get a palindrome (5454994545).

The spelling of 1420454304 in words is "one billion, four hundred twenty million, four hundred fifty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 101 141 144 188 202 282 288 303 376 404 423 564 606 752 808 846 909 1039 1128 1212 1504 1616 1692 1818 2078 2256 2424 3117 3232 3384 3636 4156 4512 4747 4848 6234 6768 7272 8312 9351 9494 9696 12468 13536 14241 14544 16624 18702 18988 24936 28482 29088 33248 37404 37976 42723 48833 49872 56964 74808 75952 85446 97666 99744 104939 113928 146499 149616 151904 170892 195332 209878 227856 292998 299232 314817 341784 390664 419756 439497 455712 585996 629634 683568 781328 839512 878994 944451 1171992 1259268 1367136 1562656 1679024 1757988 1888902 2343984 2518536 3358048 3515976 3777804 4687968 4932133 5037072 7031952 7555608 9864266 10074144 14063904 14796399 15111216 19728532 29592798 30222432 39457064 44389197 59185596 78914128 88778394 118371192 157828256 177556788 236742384 355113576 473484768 710227152 1420454304