Search a number
-
+
1013054432 = 251315715511
BaseRepresentation
bin111100011000011…
…111101111100000
32121121020111102112
4330120133233200
54033320220212
6244305134452
734050551315
oct7430375740
92547214375
101013054432
1147a92a875
1224332a428
13131b5b0c0
1498788d0c
155de0e422
hex3c61fbe0

1013054432 has 48 divisors (see below), whose sum is σ = 2161690272. Its totient is φ = 464555520.

The previous prime is 1013054423. The next prime is 1013054447. The reversal of 1013054432 is 2344503101.

It is a junction number, because it is equal to n+sod(n) for n = 1013054398 and 1013054407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57557 + ... + 73067.

It is an arithmetic number, because the mean of its divisors is an integer number (45035214).

Almost surely, 21013054432 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 1013054432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080845136).

1013054432 is an abundant number, since it is smaller than the sum of its proper divisors (1148635840).

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

1013054432 is a wasteful number, since it uses less digits than its factorization.

1013054432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15691 (or 15683 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 1013054432 is about 31828.5160194439. The cubic root of 1013054432 is about 1004.3326781225.

Adding to 1013054432 its reverse (2344503101), we get a palindrome (3357557533).

The spelling of 1013054432 in words is "one billion, thirteen million, fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 157 208 314 416 628 1256 2041 2512 4082 5024 8164 15511 16328 31022 32656 62044 65312 124088 201643 248176 403286 496352 806572 1613144 2435227 3226288 4870454 6452576 9740908 19481816 31657951 38963632 63315902 77927264 126631804 253263608 506527216 1013054432