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1146048 = 26347127
BaseRepresentation
bin100010111110011000000
32011020002020
410113303000
5243133143
640321440
712512151
oct4276300
92136066
101146048
11713052
12473280
13311847
1421b928
15179883
hex117cc0

1146048 has 56 divisors (see below), whose sum is σ = 3121152. Its totient is φ = 370944.

The previous prime is 1146043. The next prime is 1146049. The reversal of 1146048 is 8406411.

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

It is not an unprimeable number, because it can be changed into a prime (1146043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8961 + ... + 9087.

21146048 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 1146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560576).

1146048 is an abundant number, since it is smaller than the sum of its proper divisors (1975104).

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

1146048 is a wasteful number, since it uses less digits than its factorization.

1146048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1146048 is about 1070.5363141902. The cubic root of 1146048 is about 104.6488039801.

The spelling of 1146048 in words is "one million, one hundred forty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 127 141 188 192 254 282 376 381 508 564 752 762 1016 1128 1504 1524 2032 2256 3008 3048 4064 4512 5969 6096 8128 9024 11938 12192 17907 23876 24384 35814 47752 71628 95504 143256 191008 286512 382016 573024 1146048