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140448 = 25371119
BaseRepresentation
bin100010010010100000
321010122210
4202102200
513443243
63002120
71123320
oct422240
9233583
10140448
1196580
1269340
134bc09
1439280
152b933
hex224a0

140448 has 96 divisors (see below), whose sum is σ = 483840. Its totient is φ = 34560.

The previous prime is 140443. The next prime is 140449. The reversal of 140448 is 844041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 140448.

It is not an unprimeable number, because it can be changed into a prime (140443) 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 15 ways as a sum of consecutive naturals, for example, 7383 + ... + 7401.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2140448 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 140448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920).

140448 is an abundant number, since it is smaller than the sum of its proper divisors (343392).

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

140448 is a wasteful number, since it uses less digits than its factorization.

140448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 140448 is about 374.7639256919. The cubic root of 140448 is about 51.9802686480.

Adding to 140448 its reverse (844041), we get a palindrome (984489).

The spelling of 140448 in words is "one hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 32 33 38 42 44 48 56 57 66 76 77 84 88 96 112 114 132 133 152 154 168 176 209 224 228 231 264 266 304 308 336 352 399 418 456 462 528 532 608 616 627 672 798 836 912 924 1056 1064 1232 1254 1463 1596 1672 1824 1848 2128 2464 2508 2926 3192 3344 3696 4256 4389 5016 5852 6384 6688 7392 8778 10032 11704 12768 17556 20064 23408 35112 46816 70224 140448