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132696000390 = 23573263230387
BaseRepresentation
bin111101110010101001…
…1000100011110000110
3110200111210221020220010
41323211103010132012
54133230134003030
6140543143451050
712405221251542
oct1734523043606
9420453836803
10132696000390
1151304484128
1221873756a86
13c6895ba935
1465cb57aa22
1536b98a86b0
hex1ee54c4786

132696000390 has 64 divisors (see below), whose sum is σ = 324061917696. Its totient is φ = 34768012032.

The previous prime is 132696000341. The next prime is 132696000407. The reversal of 132696000390 is 93000696231.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460777 + ... + 691163.

It is an arithmetic number, because the mean of its divisors is an integer number (5063467464).

Almost surely, 2132696000390 is an apocalyptic number.

132696000390 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 132696000390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162030958848).

132696000390 is an abundant number, since it is smaller than the sum of its proper divisors (191365917306).

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

132696000390 is a wasteful number, since it uses less digits than its factorization.

132696000390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230733.

The product of its (nonzero) digits is 52488, while the sum is 39.

The spelling of 132696000390 in words is "one hundred thirty-two billion, six hundred ninety-six million, three hundred ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 73 146 219 263 365 438 526 730 789 1095 1315 1578 2190 2630 3945 7890 19199 38398 57597 95995 115194 191990 230387 287985 460774 575970 691161 1151935 1382322 2303870 3455805 6911610 16818251 33636502 50454753 60591781 84091255 100909506 121183562 168182510 181775343 252273765 302958905 363550686 504547530 605917810 908876715 1817753430 4423200013 8846400026 13269600039 22116000065 26539200078 44232000130 66348000195 132696000390