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66243072 = 293761101
BaseRepresentation
bin1111110010110…
…0101000000000
311121122111102010
43330230220000
5113424234242
610323452520
71433025330
oct374545000
9147574363
1066243072
1134435445
121a227140
13109547ac
148b250c0
155c3789c
hex3f2ca00

66243072 has 160 divisors (see below), whose sum is σ = 207022464. Its totient is φ = 18432000.

The previous prime is 66243053. The next prime is 66243077. The reversal of 66243072 is 27034266.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66243077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655822 + ... + 655922.

Almost surely, 266243072 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 66243072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103511232).

66243072 is an abundant number, since it is smaller than the sum of its proper divisors (140779392).

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

66243072 is a wasteful number, since it uses less digits than its factorization.

66243072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 66243072 is about 8138.9847032661. The cubic root of 66243072 is about 404.6195115740.

It can be divided in two parts, 662 and 43072, that added together give a palindrome (43734).

The spelling of 66243072 in words is "sixty-six million, two hundred forty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 101 112 122 128 168 183 192 202 224 244 256 303 336 366 384 404 427 448 488 512 606 672 707 732 768 808 854 896 976 1212 1281 1344 1414 1464 1536 1616 1708 1792 1952 2121 2424 2562 2688 2828 2928 3232 3416 3584 3904 4242 4848 5124 5376 5656 5856 6161 6464 6832 7808 8484 9696 10248 10752 11312 11712 12322 12928 13664 15616 16968 18483 19392 20496 22624 23424 24644 25856 27328 31232 33936 36966 38784 40992 43127 45248 46848 49288 51712 54656 67872 73932 77568 81984 86254 90496 93696 98576 109312 129381 135744 147864 155136 163968 172508 180992 197152 218624 258762 271488 295728 327936 345016 361984 394304 517524 542976 591456 655872 690032 788608 1035048 1085952 1182912 1380064 1577216 2070096 2365824 2760128 3154432 4140192 4731648 5520256 8280384 9463296 11040512 16560768 22081024 33121536 66243072