Search a number
-
+
1012304132 = 22733123801
BaseRepresentation
bin111100010101101…
…000100100000100
32121112211101012122
4330111220210010
54033122213012
6244241105112
734041305000
oct7425504404
92545741178
101012304132
1147a468094
12243028198
13131957738
1498631700
155dd11e72
hex3c568904

1012304132 has 48 divisors (see below), whose sum is σ = 2132659200. Its totient is φ = 419832000.

The previous prime is 1012304119. The next prime is 1012304147. The reversal of 1012304132 is 2314032101.

It is a self number, because there is not a number n which added to its sum of digits gives 1012304132.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30632 + ... + 54432.

It is an arithmetic number, because the mean of its divisors is an integer number (44430400).

Almost surely, 21012304132 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 1012304132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066329600).

1012304132 is an abundant number, since it is smaller than the sum of its proper divisors (1120355068).

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

1012304132 is a wasteful number, since it uses less digits than its factorization.

1012304132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23857 (or 23841 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1012304132 is about 31816.7272358425. The cubic root of 1012304132 is about 1004.0846700867.

Adding to 1012304132 its reverse (2314032101), we get a palindrome (3326336233).

The spelling of 1012304132 in words is "one billion, twelve million, three hundred four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 343 434 686 868 1372 1519 3038 6076 10633 21266 23801 42532 47602 95204 166607 333214 666428 737831 1166249 1475662 2332498 2951324 4664996 5164817 8163743 10329634 16327486 20659268 32654972 36153719 72307438 144614876 253076033 506152066 1012304132