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668051640 = 233256727697
BaseRepresentation
bin100111110100011…
…010100010111000
31201120001112120100
4213310122202320
52332010123030
6150142355400
722361226264
oct4764324270
91646045510
10668051640
113131090a3
1216788bb60
13a8534639
1464a1d0a4
153d9b1360
hex27d1a8b8

668051640 has 96 divisors (see below), whose sum is σ = 2203652880. Its totient is φ = 175481856.

The previous prime is 668051617. The next prime is 668051651. The reversal of 668051640 is 46150866.

668051640 is a `hidden beast` number, since 6 + 6 + 8 + 0 + 5 + 1 + 640 = 666.

668051640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 668051595 and 668051604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10272 + ... + 37968.

Almost surely, 2668051640 is an apocalyptic number.

668051640 is a gapful number since it is divisible by the number (60) 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 668051640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101826440).

668051640 is an abundant number, since it is smaller than the sum of its proper divisors (1535601240).

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

668051640 is a wasteful number, since it uses less digits than its factorization.

668051640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27781 (or 27774 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 668051640 is about 25846.6949531270. The cubic root of 668051640 is about 874.1849891284.

The spelling of 668051640 in words is "six hundred sixty-eight million, fifty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 67 72 90 120 134 180 201 268 335 360 402 536 603 670 804 1005 1206 1340 1608 2010 2412 2680 3015 4020 4824 6030 8040 12060 24120 27697 55394 83091 110788 138485 166182 221576 249273 276970 332364 415455 498546 553940 664728 830910 997092 1107880 1246365 1661820 1855699 1994184 2492730 3323640 3711398 4985460 5567097 7422796 9278495 9970920 11134194 14845592 16701291 18556990 22268388 27835485 33402582 37113980 44536776 55670970 66805164 74227960 83506455 111341940 133610328 167012910 222683880 334025820 668051640