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132551200 = 2552223743
BaseRepresentation
bin1111110011010…
…01001000100000
3100020102022001201
413321221020200
5232413114300
621053010544
73166444435
oct771511040
9306368051
10132551200
1168904751
1238483a54
13215cca82
1413865b8c
15b98466a
hex7e69220

132551200 has 72 divisors (see below), whose sum is σ = 325479168. Its totient is φ = 52711680.

The previous prime is 132551183. The next prime is 132551203. The reversal of 132551200 is 2155231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132551203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178029 + ... + 178771.

It is an arithmetic number, because the mean of its divisors is an integer number (4520544).

Almost surely, 2132551200 is an apocalyptic number.

132551200 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 132551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162739584).

132551200 is an abundant number, since it is smaller than the sum of its proper divisors (192927968).

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

132551200 is a wasteful number, since it uses less digits than its factorization.

132551200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 132551200 is about 11513.0882043004. The cubic root of 132551200 is about 509.8720683857.

It can be divided in two parts, 1325 and 51200, that added together give a palindrome (52525).

The spelling of 132551200 in words is "one hundred thirty-two million, five hundred fifty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 223 400 446 743 800 892 1115 1486 1784 2230 2972 3568 3715 4460 5575 5944 7136 7430 8920 11150 11888 14860 17840 18575 22300 23776 29720 35680 37150 44600 59440 74300 89200 118880 148600 165689 178400 297200 331378 594400 662756 828445 1325512 1656890 2651024 3313780 4142225 5302048 6627560 8284450 13255120 16568900 26510240 33137800 66275600 132551200