Search a number
-
+
146721132 = 22343712239
BaseRepresentation
bin10001011111011…
…00100101101100
3101020002012120000
420233230211230
5300030034012
622320424300
73431052255
oct1057544554
9336065500
10146721132
1175902838
1241178090
132452164c
14156b3b2c
15cd32ddc
hex8bec96c

146721132 has 60 divisors (see below), whose sum is σ = 393956640. Its totient is φ = 47581344.

The previous prime is 146721103. The next prime is 146721137. The reversal of 146721132 is 231127641.

It is a super-2 number, since 2×1467211322 = 43054181150722848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 146721096 and 146721105.

It is not an unprimeable number, because it can be changed into a prime (146721137) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5869 + ... + 18107.

It is an arithmetic number, because the mean of its divisors is an integer number (6565944).

Almost surely, 2146721132 is an apocalyptic number.

146721132 is a gapful number since it is divisible by the number (12) 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 146721132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196978320).

146721132 is an abundant number, since it is smaller than the sum of its proper divisors (247235508).

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

146721132 is a wasteful number, since it uses less digits than its factorization.

146721132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12292 (or 12281 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 146721132 is about 12112.8498711080. The cubic root of 146721132 is about 527.4292644907.

Adding to 146721132 its reverse (231127641), we get a palindrome (377848773).

The spelling of 146721132 in words is "one hundred forty-six million, seven hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 11988 12239 24478 36717 48956 73434 110151 146868 220302 330453 440604 452843 660906 905686 991359 1321812 1358529 1811372 1982718 2717058 3965436 4075587 5434116 8151174 12226761 16302348 24453522 36680283 48907044 73360566 146721132