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132798036 = 22372449503
BaseRepresentation
bin1111110101001…
…01011001010100
3100020212211122210
413322211121110
5232444014121
621102153420
73201523200
oct772453124
9306784583
10132798036
1168a63148
1238582870
1321688227
14138cbb00
15b9d2876
hex7ea5654

132798036 has 72 divisors (see below), whose sum is σ = 361972800. Its totient is φ = 37782528.

The previous prime is 132798013. The next prime is 132798053. The reversal of 132798036 is 630897231.

It is a junction number, because it is equal to n+sod(n) for n = 132797985 and 132798003.

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, 263761 + ... + 264263.

It is an arithmetic number, because the mean of its divisors is an integer number (5027400).

Almost surely, 2132798036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132798036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180986400).

132798036 is an abundant number, since it is smaller than the sum of its proper divisors (229174764).

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

132798036 is a wasteful number, since it uses less digits than its factorization.

132798036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 132798036 is about 11523.8030181013. The cubic root of 132798036 is about 510.1883656369.

The spelling of 132798036 in words is "one hundred thirty-two million, seven hundred ninety-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 449 503 588 898 1006 1347 1509 1796 2012 2694 3018 3143 3521 5388 6036 6286 7042 9429 10563 12572 14084 18858 21126 22001 24647 37716 42252 44002 49294 66003 73941 88004 98588 132006 147882 225847 264012 295764 451694 677541 903388 1355082 1580929 2710164 3161858 4742787 6323716 9485574 11066503 18971148 22133006 33199509 44266012 66399018 132798036