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126442032 = 24341471367
BaseRepresentation
bin1111000100101…
…01101000110000
322210220220212020
413202111220300
5224332121112
620314031440
73063511443
oct742255060
9283826766
10126442032
1165411852
1236418580
1320271192
1412b1565a
15b17948c
hex7895a30

126442032 has 80 divisors (see below), whose sum is σ = 341978112. Its totient is φ = 40215040.

The previous prime is 126442031. The next prime is 126442051. The reversal of 126442032 is 230244621.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 126441993 and 126442011.

It is not an unprimeable number, because it can be changed into a prime (126442031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91813 + ... + 93179.

Almost surely, 2126442032 is an apocalyptic number.

126442032 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 126442032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170989056).

126442032 is an abundant number, since it is smaller than the sum of its proper divisors (215536080).

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

126442032 is a wasteful number, since it uses less digits than its factorization.

126442032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 126442032 is about 11244.6445919824. The cubic root of 126442032 is about 501.9153627355.

Adding to 126442032 its reverse (230244621), we get a palindrome (356686653).

The spelling of 126442032 in words is "one hundred twenty-six million, four hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 47 48 82 94 123 141 164 188 246 282 328 376 492 564 656 752 984 1128 1367 1927 1968 2256 2734 3854 4101 5468 5781 7708 8202 10936 11562 15416 16404 21872 23124 30832 32808 46248 56047 64249 65616 92496 112094 128498 168141 192747 224188 256996 336282 385494 448376 513992 672564 770988 896752 1027984 1345128 1541976 2634209 2690256 3083952 5268418 7902627 10536836 15805254 21073672 31610508 42147344 63221016 126442032