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132788348 = 22711479173
BaseRepresentation
bin1111110101000…
…11000001111100
3100020212100100222
413322203001330
5232443211343
621102040512
73201453020
oct772430174
9306770328
10132788348
1168a56940
1238579138
13216839b4
14138c8380
15b9cea68
hex7ea307c

132788348 has 48 divisors (see below), whose sum is σ = 295916544. Its totient is φ = 50629440.

The previous prime is 132788347. The next prime is 132788351. The reversal of 132788348 is 843887231.

It is a happy number.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 132788299 and 132788308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132788347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9890 + ... + 19062.

It is an arithmetic number, because the mean of its divisors is an integer number (6164928).

Almost surely, 2132788348 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 132788348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147958272).

132788348 is an abundant number, since it is smaller than the sum of its proper divisors (163128196).

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

132788348 is a wasteful number, since it uses less digits than its factorization.

132788348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9242 (or 9240 counting only the distinct ones).

The product of its digits is 258048, while the sum is 44.

The square root of 132788348 is about 11523.3826630899. The cubic root of 132788348 is about 510.1759587639.

The spelling of 132788348 in words is "one hundred thirty-two million, seven hundred eighty-eight thousand, three hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 47 77 94 154 188 308 329 517 658 1034 1316 2068 3619 7238 9173 14476 18346 36692 64211 100903 128422 201806 256844 403612 431131 706321 862262 1412642 1724524 2825284 3017917 4742441 6035834 9484882 12071668 18969764 33197087 66394174 132788348