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132848200 = 23521741953
BaseRepresentation
bin1111110101100…
…01101001001000
3100020222101110201
413322301221020
5233002120300
621103221544
73202122352
oct772615110
9306871421
10132848200
1168a97901
12385a78b4
13216a5004
14139020d2
15b9e266a
hex7eb1a48

132848200 has 96 divisors (see below), whose sum is σ = 335369160. Its totient is φ = 48742400.

The previous prime is 132848197. The next prime is 132848213. The reversal of 132848200 is 2848231.

It can be written as a sum of positive squares in 12 ways, for example, as 736164 + 132112036 = 858^2 + 11494^2 .

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, 138924 + ... + 139876.

Almost surely, 2132848200 is an apocalyptic number.

132848200 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 132848200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167684580).

132848200 is an abundant number, since it is smaller than the sum of its proper divisors (202520960).

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

132848200 is a wasteful number, since it uses less digits than its factorization.

132848200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 132848200 is about 11525.9793510140. The cubic root of 132848200 is about 510.2525981814.

The spelling of 132848200 in words is "one hundred thirty-two million, eight hundred forty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 41 50 68 82 85 100 136 164 170 200 205 328 340 410 425 680 697 820 850 953 1025 1394 1640 1700 1906 2050 2788 3400 3485 3812 4100 4765 5576 6970 7624 8200 9530 13940 16201 17425 19060 23825 27880 32402 34850 38120 39073 47650 64804 69700 78146 81005 95300 129608 139400 156292 162010 190600 195365 312584 324020 390730 405025 648040 664241 781460 810050 976825 1328482 1562920 1620100 1953650 2656964 3240200 3321205 3907300 5313928 6642410 7814600 13284820 16606025 26569640 33212050 66424100 132848200