Search a number
-
+
514368 = 26321947
BaseRepresentation
bin1111101100101000000
3222010120200
41331211000
5112424433
615005200
74241421
oct1754500
9863520
10514368
113214a8
12209800
1315017a
14d5648
15a2613
hex7d940

514368 has 84 divisors (see below), whose sum is σ = 1584960. Its totient is φ = 158976.

The previous prime is 514361. The next prime is 514379. The reversal of 514368 is 863415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10921 + ... + 10967.

2514368 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 514368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792480).

514368 is an abundant number, since it is smaller than the sum of its proper divisors (1070592).

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

514368 is a wasteful number, since it uses less digits than its factorization.

514368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 71 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 514368 is about 717.1945342792. The cubic root of 514368 is about 80.1231436815.

The spelling of 514368 in words is "five hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 47 48 57 64 72 76 94 96 114 141 144 152 171 188 192 228 282 288 304 342 376 423 456 564 576 608 684 752 846 893 912 1128 1216 1368 1504 1692 1786 1824 2256 2679 2736 3008 3384 3572 3648 4512 5358 5472 6768 7144 8037 9024 10716 10944 13536 14288 16074 21432 27072 28576 32148 42864 57152 64296 85728 128592 171456 257184 514368