Search a number
-
+
81146232 = 23331073511
BaseRepresentation
bin1001101011000…
…11000101111000
312122200122201000
410311203011320
5131233134412
612015125000
72003505636
oct465430570
9178618630
1081146232
1141894402
1223213760
1313a7202b
14aac4356
1571cd4dc
hex4d63178

81146232 has 64 divisors (see below), whose sum is σ = 227577600. Its totient is φ = 26788320.

The previous prime is 81146209. The next prime is 81146237. The reversal of 81146232 is 23264118.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 81146196 and 81146205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81146237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21357 + ... + 24867.

It is an arithmetic number, because the mean of its divisors is an integer number (3555900).

Almost surely, 281146232 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 81146232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113788800).

81146232 is an abundant number, since it is smaller than the sum of its proper divisors (146431368).

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

81146232 is a wasteful number, since it uses less digits than its factorization.

81146232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633 (or 3623 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 81146232 is about 9008.1203366740. The cubic root of 81146232 is about 432.9350886843.

The spelling of 81146232 in words is "eighty-one million, one hundred forty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 321 428 642 856 963 1284 1926 2568 2889 3511 3852 5778 7022 7704 10533 11556 14044 21066 23112 28088 31599 42132 63198 84264 94797 126396 189594 252792 375677 379188 751354 758376 1127031 1502708 2254062 3005416 3381093 4508124 6762186 9016248 10143279 13524372 20286558 27048744 40573116 81146232