Search a number
-
+
103364576 = 2572320063
BaseRepresentation
bin1100010100100…
…11011111100000
321012111110112122
412022103133200
5202430131301
614131243412
72363404310
oct612233740
9235443478
10103364576
115338a377
122a749568
1318551093
14da29440
15911b81b
hex62937e0

103364576 has 48 divisors (see below), whose sum is σ = 242694144. Its totient is φ = 42370944.

The previous prime is 103364563. The next prime is 103364581. The reversal of 103364576 is 675463301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4880 + ... + 15183.

It is an arithmetic number, because the mean of its divisors is an integer number (5056128).

Almost surely, 2103364576 is an apocalyptic number.

103364576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103364576 is an abundant number, since it is smaller than the sum of its proper divisors (139329568).

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

103364576 is a wasteful number, since it uses less digits than its factorization.

103364576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20103 (or 20095 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 103364576 is about 10166.8370696102. The cubic root of 103364576 is about 469.3072274420.

The spelling of 103364576 in words is "one hundred three million, three hundred sixty-four thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 5152 20063 40126 80252 140441 160504 280882 321008 461449 561764 642016 922898 1123528 1845796 2247056 3230143 3691592 4494112 6460286 7383184 12920572 14766368 25841144 51682288 103364576