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144704 = 2671719
BaseRepresentation
bin100011010101000000
321100111102
4203111000
514112304
63033532
71141610
oct432500
9240442
10144704
119979a
126b8a8
1350b31
143aa40
152cd1e
hex23540

144704 has 56 divisors (see below), whose sum is σ = 365760. Its totient is φ = 55296.

The previous prime is 144701. The next prime is 144709. The reversal of 144704 is 407441.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144701) 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, 7607 + ... + 7625.

2144704 is an apocalyptic number.

144704 is a gapful number since it is divisible by the number (14) 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 144704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182880).

144704 is an abundant number, since it is smaller than the sum of its proper divisors (221056).

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

144704 is a wasteful number, since it uses less digits than its factorization.

144704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 144704 is about 380.3997896950. The cubic root of 144704 is about 52.5001058199.

144704 divided by its product of nonzero digits (448) gives a palindrome (323).

It can be divided in two parts, 144 and 704, that added together give a palindrome (848).

The spelling of 144704 in words is "one hundred forty-four thousand, seven hundred four", and thus it is an iban number.

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 64 68 76 112 119 133 136 152 224 238 266 272 304 323 448 476 532 544 608 646 952 1064 1088 1216 1292 1904 2128 2261 2584 3808 4256 4522 5168 7616 8512 9044 10336 18088 20672 36176 72352 144704