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512114106 = 23719641747
BaseRepresentation
bin11110100001100…
…011110110111010
31022200122002111010
4132201203312322
52022100122411
6122452214350
715455620020
oct3641436672
91280562433
10512114106
112430909a9
1212360a3b6
1382136cca
144c02a710
152ee5c7a6
hex1e863dba

512114106 has 32 divisors (see below), whose sum is σ = 1232156160. Its totient is φ = 138617136.

The previous prime is 512114101. The next prime is 512114107. The reversal of 512114106 is 601411215.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (512114101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 320076 + ... + 321671.

It is an arithmetic number, because the mean of its divisors is an integer number (38504880).

Almost surely, 2512114106 is an apocalyptic number.

512114106 is an abundant number, since it is smaller than the sum of its proper divisors (720042054).

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

512114106 is a wasteful number, since it uses less digits than its factorization.

512114106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641778.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 512114106 is about 22629.9382677019. The cubic root of 512114106 is about 800.0594257939.

The spelling of 512114106 in words is "five hundred twelve million, one hundred fourteen thousand, one hundred six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 641747 1283494 1925241 3850482 4492229 8984458 12193193 13476687 24386386 26953374 36579579 73159158 85352351 170704702 256057053 512114106