Search a number
-
+
668123412 = 2231123359613
BaseRepresentation
bin100111110100101…
…100000100010100
31201120012012000120
4213310230010110
52332014422122
6150144111540
722361645445
oct4764540424
91646165016
10668123412
11313158010
121679055b0
13a855b1c8
1464a3b2cc
153d9c775c
hex27d2c114

668123412 has 96 divisors (see below), whose sum is σ = 1782466560. Its totient is φ = 192804480.

The previous prime is 668123411. The next prime is 668123473. The reversal of 668123412 is 214321866.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668123411) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1089618 + ... + 1090230.

It is an arithmetic number, because the mean of its divisors is an integer number (18567360).

Almost surely, 2668123412 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 668123412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891233280).

668123412 is an abundant number, since it is smaller than the sum of its proper divisors (1114343148).

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

668123412 is a wasteful number, since it uses less digits than its factorization.

668123412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1011 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 668123412 is about 25848.0833331990. The cubic root of 668123412 is about 874.2162939729.

The spelling of 668123412 in words is "six hundred sixty-eight million, one hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 359 506 613 718 759 1012 1077 1226 1436 1518 1839 2154 2452 3036 3678 3949 4308 6743 7356 7898 8257 11847 13486 14099 15796 16514 20229 23694 24771 26972 28198 33028 40458 42297 47388 49542 56396 80916 84594 90827 99084 155089 169188 181654 220067 272481 310178 363308 440134 465267 544962 620356 660201 880268 930534 1089924 1320402 1861068 2420737 2640804 4841474 5061541 7262211 9682948 10123082 14524422 15184623 20246164 29048844 30369246 55676951 60738492 111353902 167030853 222707804 334061706 668123412