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143964 = 22333143
BaseRepresentation
bin100011001001011100
321022111000
4203021130
514101324
63030300
71136502
oct431134
9238430
10143964
1199187
126b390
13506b2
143a672
152c9c9
hex2325c

143964 has 48 divisors (see below), whose sum is σ = 394240. Its totient is φ = 45360.

The previous prime is 143953. The next prime is 143971. The reversal of 143964 is 469341.

143964 is nontrivially palindromic in base 8.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 143964.

It is an unprimeable number.

143964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3327 + ... + 3369.

2143964 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 143964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197120).

143964 is an abundant number, since it is smaller than the sum of its proper divisors (250276).

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

143964 is a wasteful number, since it uses less digits than its factorization.

143964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 79 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 143964 is about 379.4258820903. The cubic root of 143964 is about 52.4104596178.

It can be divided in two parts, 14396 and 4, that added together give a square (14400 = 1202).

The spelling of 143964 in words is "one hundred forty-three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 43 54 62 86 93 108 124 129 172 186 258 279 372 387 516 558 774 837 1116 1161 1333 1548 1674 2322 2666 3348 3999 4644 5332 7998 11997 15996 23994 35991 47988 71982 143964