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32053140 = 22325725439
BaseRepresentation
bin111101001000…
…1011110010100
32020022110122100
41322101132110
531201200030
63103002100
7536306250
oct172213624
966273570
1032053140
1117102aa9
12a899330
136843672
144385260
152c32360
hex1e91794

32053140 has 72 divisors (see below), whose sum is σ = 111121920. Its totient is φ = 7326144.

The previous prime is 32053139. The next prime is 32053141. The reversal of 32053140 is 4135023.

It is an interprime number because it is at equal distance from previous prime (32053139) and next prime (32053141).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32053141) by changing a digit.

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, 11460 + ... + 13979.

It is an arithmetic number, because the mean of its divisors is an integer number (1543360).

Almost surely, 232053140 is an apocalyptic number.

32053140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32053140 is an abundant number, since it is smaller than the sum of its proper divisors (79068780).

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

32053140 is a wasteful number, since it uses less digits than its factorization.

32053140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25461 (or 25456 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 32053140 is about 5661.5492579328. The cubic root of 32053140 is about 317.6558517295.

Adding to 32053140 its reverse (4135023), we get a palindrome (36188163).

The spelling of 32053140 in words is "thirty-two million, fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 25439 50878 76317 101756 127195 152634 178073 228951 254390 305268 356146 381585 457902 508780 534219 712292 763170 890365 915804 1068438 1144755 1526340 1602657 1780730 2136876 2289510 2671095 3205314 3561460 4579020 5342190 6410628 8013285 10684380 16026570 32053140