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13050464 = 25732941
BaseRepresentation
bin110001110010…
…001001100000
3220120000212112
4301302021200
511320103324
61143414452
7215633000
oct61621140
926500775
1013050464
117404009
124454428
13291c18b
141a3a000
15122bc0e
hexc72260

13050464 has 96 divisors (see below), whose sum is σ = 31752000. Its totient is φ = 5268480.

The previous prime is 13050437. The next prime is 13050487. The reversal of 13050464 is 46405031.

It is a happy number.

It is a super-2 number, since 2×130504642 = 340629221230592, which contains 22 as substring.

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, 318284 + ... + 318324.

It is an arithmetic number, because the mean of its divisors is an integer number (330750).

Almost surely, 213050464 is an apocalyptic number.

13050464 is a gapful number since it is divisible by the number (14) 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 13050464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15876000).

13050464 is an abundant number, since it is smaller than the sum of its proper divisors (18701536).

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

13050464 is an equidigital number, since it uses as much as digits as its factorization.

13050464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 79 counting only the distinct ones).

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

The square root of 13050464 is about 3612.5425949046. The cubic root of 13050464 is about 235.4373265846.

Adding to 13050464 its reverse (46405031), we get a palindrome (59455495).

The spelling of 13050464 in words is "thirteen million, fifty thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 41 49 56 58 82 98 112 116 164 196 203 224 232 287 328 343 392 406 464 574 656 686 784 812 928 1148 1189 1312 1372 1421 1568 1624 2009 2296 2378 2744 2842 3248 4018 4592 4756 5488 5684 6496 8036 8323 9184 9512 9947 10976 11368 14063 16072 16646 19024 19894 22736 28126 32144 33292 38048 39788 45472 56252 58261 64288 66584 79576 112504 116522 133168 159152 225008 233044 266336 318304 407827 450016 466088 815654 932176 1631308 1864352 3262616 6525232 13050464