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132708744 = 23327733607
BaseRepresentation
bin1111110100011…
…11100110001000
3100020201022011200
413322033212020
5232433134434
621100224200
73201001650
oct772174610
9306638150
10132708744
1168a02053
123853b060
13216566ac
14138a7360
15b9b6199
hex7e8f988

132708744 has 96 divisors (see below), whose sum is σ = 416507520. Its totient is φ = 37387008.

The previous prime is 132708743. The next prime is 132708809. The reversal of 132708744 is 447807231.

It is a happy number.

It is a super-2 number, since 2×1327087442 = 35223221468115072, which contains 22 as substring.

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 = 132708699 and 132708708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132708743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34989 + ... + 38595.

It is an arithmetic number, because the mean of its divisors is an integer number (4338620).

Almost surely, 2132708744 is an apocalyptic number.

132708744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132708744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208253760).

132708744 is an abundant number, since it is smaller than the sum of its proper divisors (283798776).

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

132708744 is a wasteful number, since it uses less digits than its factorization.

132708744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 132708744 is about 11519.9281247758. The cubic root of 132708744 is about 510.0739915715.

The spelling of 132708744 in words is "one hundred thirty-two million, seven hundred eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 73 84 126 146 168 219 252 292 438 504 511 584 657 876 1022 1314 1533 1752 2044 2628 3066 3607 4088 4599 5256 6132 7214 9198 10821 12264 14428 18396 21642 25249 28856 32463 36792 43284 50498 64926 75747 86568 100996 129852 151494 201992 227241 259704 263311 302988 454482 526622 605976 789933 908964 1053244 1579866 1817928 1843177 2106488 2369799 3159732 3686354 4739598 5529531 6319464 7372708 9479196 11059062 14745416 16588593 18958392 22118124 33177186 44236248 66354372 132708744