Search a number
-
+
132679350 = 23352293389
BaseRepresentation
bin1111110100010…
…00011010110110
3100020122210212000
413322020122312
5232431214400
621055440130
73200520156
oct772103266
9306583760
10132679350
1168991a61
1238526046
13216461bb
141389a766
15b9ac600
hex7e886b6

132679350 has 96 divisors (see below), whose sum is σ = 378324000. Its totient is φ = 34151040.

The previous prime is 132679343. The next prime is 132679367. The reversal of 132679350 is 53976231.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37456 + ... + 40844.

It is an arithmetic number, because the mean of its divisors is an integer number (3940875).

Almost surely, 2132679350 is an apocalyptic number.

132679350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132679350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189162000).

132679350 is an abundant number, since it is smaller than the sum of its proper divisors (245644650).

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

132679350 is a wasteful number, since it uses less digits than its factorization.

132679350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 132679350 is about 11518.6522649136. The cubic root of 132679350 is about 510.0363295919.

The spelling of 132679350 in words is "one hundred thirty-two million, six hundred seventy-nine thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 29 30 45 50 54 58 75 87 90 135 145 150 174 225 261 270 290 435 450 522 675 725 783 870 1305 1350 1450 1566 2175 2610 3389 3915 4350 6525 6778 7830 10167 13050 16945 19575 20334 30501 33890 39150 50835 61002 84725 91503 98281 101670 152505 169450 183006 196562 254175 294843 305010 457515 491405 508350 589686 762525 884529 915030 982810 1474215 1525050 1769058 2287575 2457025 2653587 2948430 4422645 4575150 4914050 5307174 7371075 8845290 13267935 14742150 22113225 26535870 44226450 66339675 132679350