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132133240 = 2355362327
BaseRepresentation
bin1111110000000…
…11000101111000
3100012122001201201
413320003011320
5232311230430
621040023544
73163054051
oct770030570
9305561651
10132133240
1168649728
1238301bb4
13214b4765
1413797728
15b9008ca
hex7e03178

132133240 has 32 divisors (see below), whose sum is σ = 302914080. Its totient is φ = 51855232.

The previous prime is 132133237. The next prime is 132133249. The reversal of 132133240 is 42331231.

It is a super-2 number, since 2×1321332402 = 34918386225795200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132133249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29044 + ... + 33283.

It is an arithmetic number, because the mean of its divisors is an integer number (9466065).

Almost surely, 2132133240 is an apocalyptic number.

132133240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132133240 is an abundant number, since it is smaller than the sum of its proper divisors (170780840).

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

132133240 is a wasteful number, since it uses less digits than its factorization.

132133240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62391 (or 62387 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 132133240 is about 11494.9223572845. The cubic root of 132133240 is about 509.3355951552.

Adding to 132133240 its reverse (42331231), we get a palindrome (174464471).

The spelling of 132133240 in words is "one hundred thirty-two million, one hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 62327 124654 249308 311635 498616 623270 1246540 2493080 3303331 6606662 13213324 16516655 26426648 33033310 66066620 132133240