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66231480 = 23357372131
BaseRepresentation
bin1111110010100…
…1110010111000
311121121220111210
43330221302320
5113423401410
610323323120
71432646460
oct374516270
9147556453
1066231480
1134427767
121a2204a0
131094c433
148b20ba0
155c34220
hex3f29cb8

66231480 has 128 divisors (see below), whose sum is σ = 233326080. Its totient is φ = 14722560.

The previous prime is 66231479. The next prime is 66231521. The reversal of 66231480 is 8413266.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 30015 + ... + 32145.

It is an arithmetic number, because the mean of its divisors is an integer number (1822860).

Almost surely, 266231480 is an apocalyptic number.

66231480 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 66231480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116663040).

66231480 is an abundant number, since it is smaller than the sum of its proper divisors (167094600).

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

66231480 is a wasteful number, since it uses less digits than its factorization.

66231480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 66231480 is about 8138.2725439739. The cubic root of 66231480 is about 404.5959084869.

The spelling of 66231480 in words is "sixty-six million, two hundred thirty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 370 420 444 518 555 740 777 840 888 1036 1110 1295 1480 1554 2072 2131 2220 2590 3108 3885 4262 4440 5180 6216 6393 7770 8524 10360 10655 12786 14917 15540 17048 21310 25572 29834 31080 31965 42620 44751 51144 59668 63930 74585 78847 85240 89502 119336 127860 149170 157694 179004 223755 236541 255720 298340 315388 358008 394235 447510 473082 551929 596680 630776 788470 895020 946164 1103858 1182705 1576940 1655787 1790040 1892328 2207716 2365410 2759645 3153880 3311574 4415432 4730820 5519290 6623148 8278935 9461640 11038580 13246296 16557870 22077160 33115740 66231480