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32424140 = 2257312241
BaseRepresentation
bin111101110110…
…0000011001100
32021000022120002
41323230003030
531300033030
63114543432
7542413010
oct173540314
967008502
1032424140
1117336811
12aa37b78
1369434a8
144440540
152ca7245
hex1eec0cc

32424140 has 72 divisors (see below), whose sum is σ = 80742816. Its totient is φ = 10713600.

The previous prime is 32424137. The next prime is 32424163. The reversal of 32424140 is 4142423.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134420 + ... + 134660.

It is an arithmetic number, because the mean of its divisors is an integer number (1121428).

Almost surely, 232424140 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 32424140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40371408).

32424140 is an abundant number, since it is smaller than the sum of its proper divisors (48318676).

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

32424140 is a wasteful number, since it uses less digits than its factorization.

32424140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 32424140 is about 5694.2198763307. The cubic root of 32424140 is about 318.8767257226.

Adding to 32424140 its reverse (4142423), we get a palindrome (36566563).

The spelling of 32424140 in words is "thirty-two million, four hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 241 310 434 482 620 868 961 964 1085 1205 1687 1922 2170 2410 3374 3844 4340 4805 4820 6727 6748 7471 8435 9610 13454 14942 16870 19220 26908 29884 33635 33740 37355 52297 67270 74710 104594 134540 149420 209188 231601 261485 463202 522970 926404 1045940 1158005 1621207 2316010 3242414 4632020 6484828 8106035 16212070 32424140