Search a number
-
+
1010424132 = 22352345197
BaseRepresentation
bin111100001110011…
…101100101000100
32121102021212100000
4330032131211010
54032132033012
6244132521300
734016314644
oct7416354504
92542255300
101010424132
114793a3673
12242480230
13131449b03
14982a2524
155da8eddc
hex3c39d944

1010424132 has 72 divisors (see below), whose sum is σ = 2763948096. Its totient is φ = 322157088.

The previous prime is 1010424127. The next prime is 1010424133. The reversal of 1010424132 is 2314240101.

1010424132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1010424133) 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, 243 + ... + 44954.

It is an arithmetic number, because the mean of its divisors is an integer number (38388168).

Almost surely, 21010424132 is an apocalyptic number.

1010424132 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 1010424132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381974048).

1010424132 is an abundant number, since it is smaller than the sum of its proper divisors (1753523964).

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

1010424132 is a wasteful number, since it uses less digits than its factorization.

1010424132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45239 (or 45225 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1010424132 is about 31787.1692983191. The cubic root of 1010424132 is about 1003.4627064908.

Adding to 1010424132 its reverse (2314240101), we get a palindrome (3324664233).

The spelling of 1010424132 in words is "one billion, ten million, four hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 486 621 828 972 1242 1863 2484 3726 5589 7452 11178 22356 45197 90394 135591 180788 271182 406773 542364 813546 1039531 1220319 1627092 2079062 2440638 3118593 3660957 4158124 4881276 6237186 7321914 9355779 10982871 12474372 14643828 18711558 21965742 28067337 37423116 43931484 56134674 84202011 112269348 168404022 252606033 336808044 505212066 1010424132