Search a number
-
+
1005245332 = 227137337831
BaseRepresentation
bin111011111010101…
…101001110010100
32121001112202100121
4323322231032110
54024320322312
6243425521324
733624305260
oct7372551624
92531482317
101005245332
11476486773
122407a3244
13130355830
14977150a0
155d3ba707
hex3bead394

1005245332 has 48 divisors (see below), whose sum is σ = 2194861312. Its totient is φ = 392221440.

The previous prime is 1005245327. The next prime is 1005245347. The reversal of 1005245332 is 2335425001.

It is a junction number, because it is equal to n+sod(n) for n = 1005245297 and 1005245306.

It is a congruent number.

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, 7657 + ... + 45487.

Almost surely, 21005245332 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 1005245332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097430656).

1005245332 is an abundant number, since it is smaller than the sum of its proper divisors (1189615980).

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

1005245332 is a wasteful number, since it uses less digits than its factorization.

1005245332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37928 (or 37926 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 1005245332 is about 31705.6041103146. The cubic root of 1005245332 is about 1001.7453958210.

The spelling of 1005245332 in words is "one billion, five million, two hundred forty-five thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 73 91 146 182 292 364 511 949 1022 1898 2044 3796 6643 13286 26572 37831 75662 151324 264817 491803 529634 983606 1059268 1967212 2761663 3442621 5523326 6885242 11046652 13770484 19331641 35901619 38663282 71803238 77326564 143606476 251311333 502622666 1005245332