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101440 = 265317
BaseRepresentation
bin11000110001000000
312011011001
4120301000
511221230
62101344
7601513
oct306100
9164131
10101440
116a239
124a854
1337231
1428d7a
15200ca
hex18c40

101440 has 28 divisors (see below), whose sum is σ = 242316. Its totient is φ = 40448.

The previous prime is 101429. The next prime is 101449. The reversal of 101440 is 44101.

It can be written as a sum of positive squares in 2 ways, for example, as 18496 + 82944 = 136^2 + 288^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 162 + ... + 478.

2101440 is an apocalyptic number.

101440 is a gapful number since it is divisible by the number (10) 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 101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121158).

101440 is an abundant number, since it is smaller than the sum of its proper divisors (140876).

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

101440 is an equidigital number, since it uses as much as digits as its factorization.

101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 101440 is about 318.4964677983. The cubic root of 101440 is about 46.6376236522.

Adding to 101440 its reverse (44101), we get a palindrome (145541).

It can be divided in two parts, 10 and 1440, that multiplied together give a square (14400 = 1202).

The spelling of 101440 in words is "one hundred one thousand, four hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 317 320 634 1268 1585 2536 3170 5072 6340 10144 12680 20288 25360 50720 101440