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1423581432 = 2337136311033
BaseRepresentation
bin101010011011010…
…0010000011111000
310200012201102121020
41110312202003320
510403414101212
6353132142440
750164146120
oct12466420370
93605642536
101423581432
11670635889
12338907a20
13198c170a0
14d70cdc80
1584ea1d8c
hex54da20f8

1423581432 has 128 divisors (see below), whose sum is σ = 4391439360. Its totient is φ = 374492160.

The previous prime is 1423581413. The next prime is 1423581463. The reversal of 1423581432 is 2341853241.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1423581393 and 1423581402.

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, 1377588 + ... + 1378620.

It is an arithmetic number, because the mean of its divisors is an integer number (34308120).

Almost surely, 21423581432 is an apocalyptic number.

1423581432 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 1423581432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195719680).

1423581432 is an abundant number, since it is smaller than the sum of its proper divisors (2967857928).

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

1423581432 is a wasteful number, since it uses less digits than its factorization.

1423581432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1689 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 1423581432 is about 37730.3781057121. The cubic root of 1423581432 is about 1124.9350236053.

Subtracting 1423581432 from its reverse (2341853241), we obtain a square (918271809 = 303032).

The spelling of 1423581432 in words is "one billion, four hundred twenty-three million, five hundred eighty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 631 728 1033 1092 1262 1893 2066 2184 2524 3099 3786 4132 4417 5048 6198 7231 7572 8203 8264 8834 12396 13251 13429 14462 15144 16406 17668 21693 24609 24792 26502 26858 28924 32812 35336 40287 43386 49218 53004 53716 57421 57848 65624 80574 86772 94003 98436 106008 107432 114842 161148 172263 173544 188006 196872 229684 282009 322296 344526 376012 459368 564018 651823 689052 752024 1128036 1303646 1378104 1955469 2256072 2607292 3910938 4562761 5214584 7821876 8473699 9125522 13688283 15643752 16947398 18251044 25421097 27376566 33894796 36502088 50842194 54753132 59315893 67789592 101684388 109506264 118631786 177947679 203368776 237263572 355895358 474527144 711790716 1423581432