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66898440 = 2333578849
BaseRepresentation
bin1111111100110…
…0101000001000
311122212210102000
43333030220020
5114111222230
610345511000
71441425120
oct377145010
9148783360
1066898440
1134842874
121a4a2460
1310b23b9b
148c55c80
155d16b60
hex3fcca08

66898440 has 128 divisors (see below), whose sum is σ = 254880000. Its totient is φ = 15289344.

The previous prime is 66898409. The next prime is 66898453. The reversal of 66898440 is 4489866.

It is a happy number.

66898440 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3136 + ... + 11984.

It is an arithmetic number, because the mean of its divisors is an integer number (1991250).

Almost surely, 266898440 is an apocalyptic number.

66898440 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 66898440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127440000).

66898440 is an abundant number, since it is smaller than the sum of its proper divisors (187981560).

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

66898440 is a wasteful number, since it uses less digits than its factorization.

66898440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8876 (or 8866 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 66898440 is about 8179.1466547556. The cubic root of 66898440 is about 405.9494869493.

It can be divided in two parts, 6689 and 8440, that added together give a square (15129 = 1232).

The spelling of 66898440 in words is "sixty-six million, eight hundred ninety-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 8849 17698 26547 35396 44245 53094 61943 70792 79641 88490 106188 123886 132735 159282 176980 185829 212376 238923 247772 265470 309715 318564 353960 371658 398205 477846 495544 530940 557487 619430 637128 743316 796410 929145 955692 1061880 1114974 1194615 1238860 1486632 1592820 1672461 1858290 1911384 2229948 2389230 2477720 2787435 3185640 3344922 3716580 4459896 4778460 5574870 6689844 7433160 8362305 9556920 11149740 13379688 16724610 22299480 33449220 66898440