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66543680 = 265761487
BaseRepresentation
bin1111110111011…
…0000001000000
311122012202202202
43331312001000
5114013344210
610334132332
71435416620
oct375660100
9148182682
1066543680
1134620285
121a3510a8
1310a2b578
148ba2880
155c969a5
hex3f76040

66543680 has 112 divisors (see below), whose sum is σ = 184440576. Its totient is φ = 22394880.

The previous prime is 66543667. The next prime is 66543709. The reversal of 66543680 is 8634566.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×665436802 = 8856122695884800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136397 + ... + 136883.

Almost surely, 266543680 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 66543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92220288).

66543680 is an abundant number, since it is smaller than the sum of its proper divisors (117896896).

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

66543680 is a wasteful number, since it uses less digits than its factorization.

66543680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 66543680 is about 8157.4309681419. The cubic root of 66543680 is about 405.2306363016.

The spelling of 66543680 in words is "sixty-six million, five hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 61 64 70 80 112 122 140 160 224 244 280 305 320 427 448 487 488 560 610 854 974 976 1120 1220 1708 1948 1952 2135 2240 2435 2440 3409 3416 3896 3904 4270 4870 4880 6818 6832 7792 8540 9740 9760 13636 13664 15584 17045 17080 19480 19520 27272 27328 29707 31168 34090 34160 38960 54544 59414 68180 68320 77920 109088 118828 136360 136640 148535 155840 207949 218176 237656 272720 297070 415898 475312 545440 594140 831796 950624 1039745 1090880 1188280 1663592 1901248 2079490 2376560 3327184 4158980 4753120 6654368 8317960 9506240 13308736 16635920 33271840 66543680