Search a number
-
+
1013325732 = 2232177920959
BaseRepresentation
bin111100011001100…
…001111110100100
32121121202021120200
4330121201332210
54033402410412
6244315030500
734053061266
oct7431417644
92547667520
101013325732
1147aaa5691
1224343b430
13131c24733
1498819b36
155de649dc
hex3c661fa4

1013325732 has 72 divisors (see below), whose sum is σ = 2746598400. Its totient is φ = 313867008.

The previous prime is 1013325673. The next prime is 1013325739. The reversal of 1013325732 is 2375233101.

It is a junction number, because it is equal to n+sod(n) for n = 1013325696 and 1013325705.

It is not an unprimeable number, because it can be changed into a prime (1013325739) 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, 37869 + ... + 58827.

It is an arithmetic number, because the mean of its divisors is an integer number (38147200).

Almost surely, 21013325732 is an apocalyptic number.

1013325732 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 1013325732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373299200).

1013325732 is an abundant number, since it is smaller than the sum of its proper divisors (1733272668).

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

1013325732 is a wasteful number, since it uses less digits than its factorization.

1013325732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21065 (or 21060 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 1013325732 is about 31832.7776356384. Note that the first 3 decimals coincide. The cubic root of 1013325732 is about 1004.4223248802.

Adding to 1013325732 its reverse (2375233101), we get a palindrome (3388558833).

The spelling of 1013325732 in words is "one billion, thirteen million, three hundred twenty-five thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 79 102 153 158 204 237 306 316 474 612 711 948 1343 1422 2686 2844 4029 5372 8058 12087 16116 20959 24174 41918 48348 62877 83836 125754 188631 251508 356303 377262 712606 754524 1068909 1425212 1655761 2137818 3206727 3311522 4275636 4967283 6413454 6623044 9934566 12826908 14901849 19869132 28147937 29803698 56295874 59607396 84443811 112591748 168887622 253331433 337775244 506662866 1013325732