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32152140 = 2234589223
BaseRepresentation
bin111101010100…
…1101001001100
32020111111110000
41322221221030
531212332030
63105044300
7540201006
oct172515114
966444400
1032152140
1117170419
12a926690
136879747
1443ad376
152c51860
hex1ea9a4c

32152140 has 120 divisors (see below), whose sum is σ = 102453120. Its totient is φ = 8439552.

The previous prime is 32152139. The next prime is 32152163. The reversal of 32152140 is 4125123.

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

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 144069 + ... + 144291.

It is an arithmetic number, because the mean of its divisors is an integer number (853776).

Almost surely, 232152140 is an apocalyptic number.

32152140 is a gapful number since it is divisible by the number (30) 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 32152140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51226560).

32152140 is an abundant number, since it is smaller than the sum of its proper divisors (70300980).

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

32152140 is a wasteful number, since it uses less digits than its factorization.

32152140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 32152140 is about 5670.2857070874. The cubic root of 32152140 is about 317.9825551128.

Adding to 32152140 its reverse (4125123), we get a palindrome (36277263).

The spelling of 32152140 in words is "thirty-two million, one hundred fifty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 89 90 108 135 162 178 180 223 267 270 324 356 405 445 446 534 540 669 801 810 890 892 1068 1115 1335 1338 1602 1620 1780 2007 2230 2403 2670 2676 3204 3345 4005 4014 4460 4806 5340 6021 6690 7209 8010 8028 9612 10035 12015 12042 13380 14418 16020 18063 19847 20070 24030 24084 28836 30105 36045 36126 39694 40140 48060 59541 60210 72090 72252 79388 90315 99235 119082 120420 144180 178623 180630 198470 238164 297705 357246 361260 396940 535869 595410 714492 893115 1071738 1190820 1607607 1786230 2143476 2679345 3215214 3572460 5358690 6430428 8038035 10717380 16076070 32152140