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514532106 = 2321183131239
BaseRepresentation
bin11110101010110…
…010001100001010
31022212011221100200
4132222302030022
52023210011411
6123020113030
715515310414
oct3652621412
91285157320
10514532106
11244492650
12124395776
13827a278a
144c4999b4
1530288e56
hex1eab230a

514532106 has 96 divisors (see below), whose sum is σ = 1245404160. Its totient is φ = 152224800.

The previous prime is 514532093. The next prime is 514532147. The reversal of 514532106 is 601235415.

It is a self number, because there is not a number n which added to its sum of digits gives 514532106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2152735 + ... + 2152973.

It is an arithmetic number, because the mean of its divisors is an integer number (12972960).

Almost surely, 2514532106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514532106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622702080).

514532106 is an abundant number, since it is smaller than the sum of its proper divisors (730872054).

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

514532106 is a wasteful number, since it uses less digits than its factorization.

514532106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 514532106 is about 22683.3001567232. The cubic root of 514532106 is about 801.3166371030.

The spelling of 514532106 in words is "five hundred fourteen million, five hundred thirty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 83 99 131 166 198 239 249 262 393 478 498 717 747 786 913 1179 1434 1441 1494 1826 2151 2358 2629 2739 2882 4302 4323 5258 5478 7887 8217 8646 10873 12969 15774 16434 19837 21746 23661 25938 31309 32619 39674 47322 59511 62618 65238 93927 97857 119022 119603 178533 187854 195714 218207 239206 281781 344399 357066 358809 436414 563562 654621 688798 717618 1033197 1076427 1309242 1963863 2066394 2152854 2598647 3099591 3927726 5197294 6199182 7795941 15591882 23387823 28585117 46775646 57170234 85755351 171510702 257266053 514532106