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132215600 = 245211151199
BaseRepresentation
bin1111110000101…
…11001100110000
3100012210020201002
413320113030300
5232321344400
621041501132
73163546136
oct770271460
9305706632
10132215600
11686a55a0
12383417a8
13215130aa
14137b9756
15b919ed5
hex7e17330

132215600 has 120 divisors (see below), whose sum is σ = 350572800. Its totient is φ = 47520000.

The previous prime is 132215599. The next prime is 132215627. The reversal of 132215600 is 6512231.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 664301 + ... + 664499.

It is an arithmetic number, because the mean of its divisors is an integer number (2921440).

Almost surely, 2132215600 is an apocalyptic number.

132215600 is a gapful number since it is divisible by the number (10) 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 132215600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175286400).

132215600 is an abundant number, since it is smaller than the sum of its proper divisors (218357200).

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

132215600 is a wasteful number, since it uses less digits than its factorization.

132215600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 132215600 is about 11498.5042505536. The cubic root of 132215600 is about 509.4413978710.

Adding to 132215600 its reverse (6512231), we get a palindrome (138727831).

The spelling of 132215600 in words is "one hundred thirty-two million, two hundred fifteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 151 176 199 200 220 275 302 398 400 440 550 604 755 796 880 995 1100 1208 1510 1592 1661 1990 2189 2200 2416 3020 3184 3322 3775 3980 4378 4400 4975 6040 6644 7550 7960 8305 8756 9950 10945 12080 13288 15100 15920 16610 17512 19900 21890 26576 30049 30200 33220 35024 39800 41525 43780 54725 60098 60400 66440 79600 83050 87560 109450 120196 132880 150245 166100 175120 218900 240392 300490 330539 332200 437800 480784 600980 661078 664400 751225 875600 1201960 1322156 1502450 1652695 2403920 2644312 3004900 3305390 5288624 6009800 6610780 8263475 12019600 13221560 16526950 26443120 33053900 66107800 132215600