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32142440 = 23511229229
BaseRepresentation
bin111101010011…
…1010001101000
32020111000010202
41322213101220
531212024230
63104531332
7540130511
oct172472150
966430122
1032142440
1117164100
12a920b48
1368751c5
1443a9a08
152c4da45
hex1ea7468

32142440 has 96 divisors (see below), whose sum is σ = 82593000. Its totient is φ = 11235840.

The previous prime is 32142437. The next prime is 32142449. The reversal of 32142440 is 4424123.

It can be written as a sum of positive squares in 4 ways, for example, as 30980356 + 1162084 = 5566^2 + 1078^2 .

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

It is not an unprimeable number, because it can be changed into a prime (32142449) 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, 140246 + ... + 140474.

Almost surely, 232142440 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 32142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41296500).

32142440 is an abundant number, since it is smaller than the sum of its proper divisors (50450560).

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

32142440 is a wasteful number, since it uses less digits than its factorization.

32142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 276 counting only the distinct ones).

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

The square root of 32142440 is about 5669.4303064770. The cubic root of 32142440 is about 317.9505744420.

Adding to 32142440 its reverse (4424123), we get a palindrome (36566563).

The spelling of 32142440 in words is "thirty-two million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 121 145 220 229 232 242 290 319 440 458 484 580 605 638 916 968 1145 1160 1210 1276 1595 1832 2290 2420 2519 2552 3190 3509 4580 4840 5038 6380 6641 7018 9160 10076 12595 12760 13282 14036 17545 20152 25190 26564 27709 28072 33205 35090 50380 53128 55418 66410 70180 73051 100760 110836 132820 138545 140360 146102 221672 265640 277090 292204 365255 554180 584408 730510 803561 1108360 1461020 1607122 2922040 3214244 4017805 6428488 8035610 16071220 32142440