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132411400 = 235211139433
BaseRepresentation
bin1111110010001…
…11000000001000
3100020011012021221
413321013000020
5232344131100
621050011424
73165323032
oct771070010
9306135257
10132411400
1168819710
1238416b74
1321581254
141382ac52
15b95801a
hex7e47008

132411400 has 96 divisors (see below), whose sum is σ = 339040800. Its totient is φ = 47692800.

The previous prime is 132411353. The next prime is 132411401. The reversal of 132411400 is 4114231.

It is not an unprimeable number, because it can be changed into a prime (132411401) by changing a digit.

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, 305584 + ... + 306016.

It is an arithmetic number, because the mean of its divisors is an integer number (3531675).

Almost surely, 2132411400 is an apocalyptic number.

132411400 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 132411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169520400).

132411400 is an abundant number, since it is smaller than the sum of its proper divisors (206629400).

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

132411400 is a wasteful number, since it uses less digits than its factorization.

132411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 132411400 is about 11507.0152515759. The cubic root of 132411400 is about 509.6927535517.

Adding to 132411400 its reverse (4114231), we get a palindrome (136525631).

It can be divided in two parts, 13241 and 1400, that added together give a palindrome (14641).

The spelling of 132411400 in words is "one hundred thirty-two million, four hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 139 200 220 275 278 433 440 550 556 695 866 1100 1112 1390 1529 1732 2165 2200 2780 3058 3464 3475 4330 4763 5560 6116 6950 7645 8660 9526 10825 12232 13900 15290 17320 19052 21650 23815 27800 30580 38104 38225 43300 47630 60187 61160 76450 86600 95260 119075 120374 152900 190520 238150 240748 300935 305800 476300 481496 601870 662057 952600 1203740 1324114 1504675 2407480 2648228 3009350 3310285 5296456 6018700 6620570 12037400 13241140 16551425 26482280 33102850 66205700 132411400