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32252130 = 2325734909
BaseRepresentation
bin111101100001…
…0000011100010
32020200120121100
41323002003202
531224032010
63111135230
7541065351
oct173020342
966616540
1032252130
1117229559
12a974516
1368b3101
1443d7998
152c712c0
hex1ec20e2

32252130 has 48 divisors (see below), whose sum is σ = 85021560. Its totient is φ = 8481024.

The previous prime is 32252113. The next prime is 32252149. The reversal of 32252130 is 3125223.

It can be written as a sum of positive squares in 4 ways, for example, as 32046921 + 205209 = 5661^2 + 453^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4116 + ... + 9024.

Almost surely, 232252130 is an apocalyptic number.

32252130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32252130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42510780).

32252130 is an abundant number, since it is smaller than the sum of its proper divisors (52769430).

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

32252130 is a wasteful number, since it uses less digits than its factorization.

32252130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4995 (or 4992 counting only the distinct ones).

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

The square root of 32252130 is about 5679.0958787469. The cubic root of 32252130 is about 318.3118455080.

Adding to 32252130 its reverse (3125223), we get a palindrome (35377353).

The spelling of 32252130 in words is "thirty-two million, two hundred fifty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 2190 3285 4909 6570 9818 14727 24545 29454 44181 49090 73635 88362 147270 220905 358357 441810 716714 1075071 1791785 2150142 3225213 3583570 5375355 6450426 10750710 16126065 32252130