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1420493312 = 2972979173
BaseRepresentation
bin101010010101011…
…0000001000000000
310122222220112111102
41110222300020000
510402121241222
6352542033532
750125664630
oct12452601000
93588815442
101420493312
11669916717
123378788a8
131983a55b4
14d69286c0
1584a91d92
hex54ab0200

1420493312 has 160 divisors (see below), whose sum is σ = 3417638400. Its totient is φ = 576995328.

The previous prime is 1420493303. The next prime is 1420493323. The reversal of 1420493312 is 2133940241.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8210858 + ... + 8211030.

It is an arithmetic number, because the mean of its divisors is an integer number (21360240).

Almost surely, 21420493312 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 1420493312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708819200).

1420493312 is an abundant number, since it is smaller than the sum of its proper divisors (1997145088).

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

1420493312 is an equidigital number, since it uses as much as digits as its factorization.

1420493312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 1420493312 is about 37689.4323650543. The cubic root of 1420493312 is about 1124.1210087421.

The spelling of 1420493312 in words is "one billion, four hundred twenty million, four hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 79 112 116 128 158 173 203 224 232 256 316 346 406 448 464 512 553 632 692 812 896 928 1106 1211 1264 1384 1624 1792 1856 2212 2291 2422 2528 2768 3248 3584 3712 4424 4582 4844 5017 5056 5536 6496 7424 8848 9164 9688 10034 10112 11072 12992 13667 14848 16037 17696 18328 19376 20068 20224 22144 25984 27334 32074 35119 35392 36656 38752 40136 40448 44288 51968 54668 64148 70238 70784 73312 77504 80272 88576 95669 103936 109336 128296 140476 141568 146624 155008 160544 191338 218672 256592 280952 283136 293248 310016 321088 382676 396343 437344 513184 561904 586496 620032 642176 765352 792686 874688 1026368 1123808 1172992 1284352 1530704 1585372 1749376 2052736 2247616 2568704 2774401 3061408 3170744 3498752 4105472 4495232 5548802 6122816 6341488 6997504 8210944 8990464 11097604 12245632 12682976 17980928 22195208 24491264 25365952 44390416 48982528 50731904 88780832 101463808 177561664 202927616 355123328 710246656 1420493312