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132050000 = 245519139
BaseRepresentation
bin1111101111011…
…10110001010000
3100012110211112202
413313232301100
5232301100000
621034142332
73162256265
oct767566120
9305424482
10132050000
11685a2135
12382819a8
13214858c4
141377526c
15b8d5dd5
hex7deec50

132050000 has 120 divisors (see below), whose sum is σ = 339040800. Its totient is φ = 49680000.

The previous prime is 132049997. The next prime is 132050011. The reversal of 132050000 is 50231.

It is a congruent number.

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, 949931 + ... + 950069.

It is an arithmetic number, because the mean of its divisors is an integer number (2825340).

Almost surely, 2132050000 is an apocalyptic number.

132050000 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 132050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169520400).

132050000 is an abundant number, since it is smaller than the sum of its proper divisors (206990800).

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

132050000 is an equidigital number, since it uses as much as digits as its factorization.

132050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 132050000 is about 11491.3010577567. The cubic root of 132050000 is about 509.2286172768.

The spelling of 132050000 in words is "one hundred thirty-two million, fifty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 139 152 190 200 250 278 304 380 400 475 500 556 625 695 760 950 1000 1112 1250 1390 1520 1900 2000 2224 2375 2500 2641 2780 3125 3475 3800 4750 5000 5282 5560 6250 6950 7600 9500 10000 10564 11120 11875 12500 13205 13900 17375 19000 21128 23750 25000 26410 27800 34750 38000 42256 47500 50000 52820 55600 59375 66025 69500 86875 95000 105640 118750 132050 139000 173750 190000 211280 237500 264100 278000 330125 347500 434375 475000 528200 660250 695000 868750 950000 1056400 1320500 1390000 1650625 1737500 2641000 3301250 3475000 5282000 6602500 6950000 8253125 13205000 16506250 26410000 33012500 66025000 132050000