Search a number
-
+
132674940 = 22325737083
BaseRepresentation
bin1111110100001…
…11010101111100
3100020122120210200
413322013111330
5232431044230
621055403500
73200501256
oct772072574
9306576720
10132674940
1168989712
1238523590
13216441a8
1413898cd6
15b9ab160
hex7e8757c

132674940 has 36 divisors (see below), whose sum is σ = 402447864. Its totient is φ = 35379936.

The previous prime is 132674923. The next prime is 132674989. The reversal of 132674940 is 49476231.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132674895 and 132674904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368362 + ... + 368721.

Almost surely, 2132674940 is an apocalyptic number.

132674940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132674940 is an abundant number, since it is smaller than the sum of its proper divisors (269772924).

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

132674940 is a wasteful number, since it uses less digits than its factorization.

132674940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737098 (or 737093 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 132674940 is about 11518.4608346775. The cubic root of 132674940 is about 510.0306786620.

The spelling of 132674940 in words is "one hundred thirty-two million, six hundred seventy-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 737083 1474166 2211249 2948332 3685415 4422498 6633747 7370830 8844996 11056245 13267494 14741660 22112490 26534988 33168735 44224980 66337470 132674940