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66165960 = 23357227347
BaseRepresentation
bin1111110001100…
…1110011001000
311121111120122010
43330121303020
5113414302320
610322055520
71432254450
oct374316310
9147446563
1066165960
1134392513
121a1aa5a0
1310928673
148b04d60
155c1eae0
hex3f19cc8

66165960 has 128 divisors (see below), whose sum is σ = 228510720. Its totient is φ = 15013632.

The previous prime is 66165937. The next prime is 66165971. The reversal of 66165960 is 6956166.

66165960 = T41 + T42 + ... + T734.

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, 190507 + ... + 190853.

It is an arithmetic number, because the mean of its divisors is an integer number (1785240).

Almost surely, 266165960 is an apocalyptic number.

66165960 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 66165960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114255360).

66165960 is an abundant number, since it is smaller than the sum of its proper divisors (162344760).

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

66165960 is a wasteful number, since it uses less digits than its factorization.

66165960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 66165960 is about 8134.2461236429. The cubic root of 66165960 is about 404.4624479322.

The spelling of 66165960 in words is "sixty-six million, one hundred sixty-five 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 84 105 120 140 168 210 227 280 347 420 454 681 694 840 908 1041 1135 1362 1388 1589 1735 1816 2082 2270 2429 2724 2776 3178 3405 3470 4164 4540 4767 4858 5205 5448 6356 6810 6940 7287 7945 8328 9080 9534 9716 10410 12145 12712 13620 13880 14574 15890 19068 19432 20820 23835 24290 27240 29148 31780 36435 38136 41640 47670 48580 58296 63560 72870 78769 95340 97160 145740 157538 190680 236307 291480 315076 393845 472614 551383 630152 787690 945228 1102766 1181535 1575380 1654149 1890456 2205532 2363070 2756915 3150760 3308298 4411064 4726140 5513830 6616596 8270745 9452280 11027660 13233192 16541490 22055320 33082980 66165960