Search a number
-
+
132247800 = 23325273471
BaseRepresentation
bin1111110000111…
…11000011111000
3100012211212212200
413320133003320
5232323412200
621042310200
73164042046
oct770370370
9305755780
10132247800
1168717803
1238358360
1321524949
14137c7396
15b924800
hex7e1f0f8

132247800 has 72 divisors (see below), whose sum is σ = 444138240. Its totient is φ = 35265600.

The previous prime is 132247757. The next prime is 132247807. The reversal of 132247800 is 8742231.

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132247807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34936 + ... + 38535.

Almost surely, 2132247800 is an apocalyptic number.

132247800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132247800 is an abundant number, since it is smaller than the sum of its proper divisors (311890440).

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

132247800 is a wasteful number, since it uses less digits than its factorization.

132247800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73493 (or 73481 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 132247800 is about 11499.9043474283. The cubic root of 132247800 is about 509.4827512400.

The spelling of 132247800 in words is "one hundred thirty-two million, two hundred forty-seven thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 73471 146942 220413 293884 367355 440826 587768 661239 734710 881652 1102065 1322478 1469420 1763304 1836775 2204130 2644956 2938840 3306195 3673550 4408260 5289912 5510325 6612390 7347100 8816520 11020650 13224780 14694200 16530975 22041300 26449560 33061950 44082600 66123900 132247800