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1416005052 = 22371110115173
BaseRepresentation
bin101010001100110…
…1000010110111100
310122200110111202120
41110121220112330
510344444130202
6352301522540
750042562420
oct12431502674
93580414676
101416005052
11667330610
12336273450
13197493717
14d60bab80
15844a70bc
hex546685bc

1416005052 has 96 divisors (see below), whose sum is σ = 4160346624. Its totient is φ = 364128000.

The previous prime is 1416005009. The next prime is 1416005083. The reversal of 1416005052 is 2505006141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85738 + ... + 100910.

It is an arithmetic number, because the mean of its divisors is an integer number (43336944).

Almost surely, 21416005052 is an apocalyptic number.

1416005052 is a gapful number since it is divisible by the number (12) 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 1416005052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080173312).

1416005052 is an abundant number, since it is smaller than the sum of its proper divisors (2744341572).

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

1416005052 is a wasteful number, since it uses less digits than its factorization.

1416005052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15299 (or 15297 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1416005052 is about 37629.8425720863. The cubic root of 1416005052 is about 1122.9358170660.

The spelling of 1416005052 in words is "one billion, four hundred sixteen million, five thousand, fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 101 132 154 202 231 303 308 404 462 606 707 924 1111 1212 1414 2121 2222 2828 3333 4242 4444 6666 7777 8484 13332 15173 15554 23331 30346 31108 45519 46662 60692 91038 93324 106211 166903 182076 212422 318633 333806 424844 500709 637266 667612 1001418 1168321 1274532 1532473 2002836 2336642 3064946 3504963 4597419 4673284 6129892 7009926 9194838 10727311 14019852 16857203 18389676 21454622 32181933 33714406 42909244 50571609 64363866 67428812 101143218 118000421 128727732 202286436 236000842 354001263 472001684 708002526 1416005052