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1420124432 = 242925711909
BaseRepresentation
bin101010010100101…
…0110000100010000
310122222012210111012
41110221112010100
510402022440212
6352530110052
750122600316
oct12451260420
93588183435
101420124432
11669694561
1233771b328
131982a671c
14d68700b6
1584a1c922
hex54a56110

1420124432 has 40 divisors (see below), whose sum is σ = 2857685400. Its totient is φ = 682852352.

The previous prime is 1420124423. The next prime is 1420124471. The reversal of 1420124432 is 2344210241.

It can be written as a sum of positive squares in 4 ways, for example, as 522762496 + 897361936 = 22864^2 + 29956^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1420124398 and 1420124407.

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 7 ways as a sum of consecutive naturals, for example, 113294 + ... + 125202.

It is an arithmetic number, because the mean of its divisors is an integer number (71442135).

Almost surely, 21420124432 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 1420124432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428842700).

1420124432 is an abundant number, since it is smaller than the sum of its proper divisors (1437560968).

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

1420124432 is a wasteful number, since it uses less digits than its factorization.

1420124432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12203 (or 12197 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 1420124432 is about 37684.5383678771. The cubic root of 1420124432 is about 1124.0236947424.

Adding to 1420124432 its reverse (2344210241), we get a palindrome (3764334673).

The spelling of 1420124432 in words is "one billion, four hundred twenty million, one hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 58 116 232 257 464 514 1028 2056 4112 7453 11909 14906 23818 29812 47636 59624 95272 119248 190544 345361 690722 1381444 2762888 3060613 5525776 6121226 12242452 24484904 48969808 88757777 177515554 355031108 710062216 1420124432