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668151960 = 233572513169
BaseRepresentation
bin100111110100110…
…011000010011000
31201120020122011220
4213310303002120
52332021330320
6150144452040
722362124620
oct4764630230
91646218156
10668151960
11313177503
1216791a020
13a856b1b8
1464a47880
153d9d0e40
hex27d33098

668151960 has 128 divisors (see below), whose sum is σ = 2300659200. Its totient is φ = 152064000.

The previous prime is 668151947. The next prime is 668151983. The reversal of 668151960 is 69151866.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209256 + ... + 212424.

It is an arithmetic number, because the mean of its divisors is an integer number (17973900).

Almost surely, 2668151960 is an apocalyptic number.

668151960 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 668151960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150329600).

668151960 is an abundant number, since it is smaller than the sum of its proper divisors (1632507240).

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

668151960 is a wasteful number, since it uses less digits than its factorization.

668151960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 668151960 is about 25848.6355539320. The cubic root of 668151960 is about 874.2287451513.

It can be divided in two parts, 668 and 151960, that added together give a triangular number (152628 = T552).

The spelling of 668151960 in words is "six hundred sixty-eight million, one hundred fifty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 251 280 420 502 753 840 1004 1255 1506 1757 2008 2510 3012 3169 3514 3765 5020 5271 6024 6338 7028 7530 8785 9507 10040 10542 12676 14056 15060 15845 17570 19014 21084 22183 25352 26355 30120 31690 35140 38028 42168 44366 47535 52710 63380 66549 70280 76056 88732 95070 105420 110915 126760 133098 177464 190140 210840 221830 266196 332745 380280 443660 532392 665490 795419 887320 1330980 1590838 2386257 2661960 3181676 3977095 4772514 5567933 6363352 7954190 9545028 11135866 11931285 15908380 16703799 19090056 22271732 23862570 27839665 31816760 33407598 44543464 47725140 55679330 66815196 83518995 95450280 111358660 133630392 167037990 222717320 334075980 668151960