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132210700 = 22521783937
BaseRepresentation
bin1111110000101…
…10000000001100
3100012202222222121
413320112000030
5232321220300
621041422324
73163525636
oct770260014
9305688877
10132210700
11686a1946
123833a9a4
1321510aab
14137b7a56
15b91881a
hex7e1600c

132210700 has 72 divisors (see below), whose sum is σ = 307761552. Its totient is φ = 49121280.

The previous prime is 132210641. The next prime is 132210719. The reversal of 132210700 is 7012231.

It is a happy number.

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, 140632 + ... + 141568.

It is an arithmetic number, because the mean of its divisors is an integer number (4274466).

Almost surely, 2132210700 is an apocalyptic number.

132210700 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 132210700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153880776).

132210700 is an abundant number, since it is smaller than the sum of its proper divisors (175550852).

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

132210700 is a wasteful number, since it uses less digits than its factorization.

132210700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 132210700 is about 11498.2911773881. The cubic root of 132210700 is about 509.4351043784.

Adding to 132210700 its reverse (7012231), we get a palindrome (139222931).

The spelling of 132210700 in words is "one hundred thirty-two million, two hundred ten thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 83 85 100 166 170 332 340 415 425 830 850 937 1411 1660 1700 1874 2075 2822 3748 4150 4685 5644 7055 8300 9370 14110 15929 18740 23425 28220 31858 35275 46850 63716 70550 77771 79645 93700 141100 155542 159290 311084 318580 388855 398225 777710 796450 1322107 1555420 1592900 1944275 2644214 3888550 5288428 6610535 7777100 13221070 26442140 33052675 66105350 132210700