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141440 = 2751317
BaseRepresentation
bin100010100010000000
321012000112
4202202000
514011230
63010452
71126235
oct424200
9235015
10141440
11972a2
1269a28
134c4c0
143978c
152bd95
hex22880

141440 has 64 divisors (see below), whose sum is σ = 385560. Its totient is φ = 49152.

The previous prime is 141439. The next prime is 141443. The reversal of 141440 is 44141.

It can be written as a sum of positive squares in 4 ways, for example, as 107584 + 33856 = 328^2 + 184^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 141440.

It is not an unprimeable number, because it can be changed into a prime (141443) 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, 8312 + ... + 8328.

2141440 is an apocalyptic number.

141440 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 141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192780).

141440 is an abundant number, since it is smaller than the sum of its proper divisors (244120).

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

141440 is a wasteful number, since it uses less digits than its factorization.

141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 141440 is about 376.0850967534. The cubic root of 141440 is about 52.1023624689.

Subtracting from 141440 its product of nonzero digits (64), we obtain a square (141376 = 3762).

Adding to 141440 its reverse (44141), we get a palindrome (185581).

The spelling of 141440 in words is "one hundred forty-one thousand, four hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 104 128 130 136 160 170 208 221 260 272 320 340 416 442 520 544 640 680 832 884 1040 1088 1105 1360 1664 1768 2080 2176 2210 2720 3536 4160 4420 5440 7072 8320 8840 10880 14144 17680 28288 35360 70720 141440