Search a number
-
+
1000033132 = 227417311933
BaseRepresentation
bin111011100110110…
…100101101101100
32120200201221120011
4323212310231230
54022002030012
6243122103004
733532066330
oct7346645554
92520657504
101000033132
1147354676a
1223aaaaa64
1312c24c2a7
1496b597c0
155cbdb1a7
hex3b9b4b6c

1000033132 has 48 divisors (see below), whose sum is σ = 2077088832. Its totient is φ = 412369920.

The previous prime is 1000033127. The next prime is 1000033141. The reversal of 1000033132 is 2313300001.

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, 77838 + ... + 89770.

It is an arithmetic number, because the mean of its divisors is an integer number (43272684).

Almost surely, 21000033132 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 1000033132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038544416).

1000033132 is an abundant number, since it is smaller than the sum of its proper divisors (1077055700).

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

1000033132 is a wasteful number, since it uses less digits than its factorization.

1000033132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12058 (or 12056 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1000033132 is about 31623.3004602619. The cubic root of 1000033132 is about 1000.0110438780.

Adding to 1000033132 its reverse (2313300001), we get a palindrome (3313333133).

The spelling of 1000033132 in words is "one billion, thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 41 73 82 146 164 287 292 511 574 1022 1148 2044 2993 5986 11933 11972 20951 23866 41902 47732 83531 83804 167062 334124 489253 871109 978506 1742218 1957012 3424771 3484436 6097763 6849542 12195526 13699084 24391052 35715469 71430938 142861876 250008283 500016566 1000033132