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66930528 = 2537137727
BaseRepresentation
bin1111111101010…
…0011101100000
311122221102102110
43333110131200
5114113234103
610350315320
71441620510
oct377243540
9148842373
1066930528
1134864995
121a4b8b40
1310b35682
148c63840
155d21403
hex3fd4760

66930528 has 96 divisors (see below), whose sum is σ = 202535424. Its totient is φ = 18957312.

The previous prime is 66930511. The next prime is 66930557. The reversal of 66930528 is 82503966.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 91701 + ... + 92427.

It is an arithmetic number, because the mean of its divisors is an integer number (2109744).

Almost surely, 266930528 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 66930528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101267712).

66930528 is an abundant number, since it is smaller than the sum of its proper divisors (135604896).

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

66930528 is a wasteful number, since it uses less digits than its factorization.

66930528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 66930528 is about 8181.1079934200. The cubic root of 66930528 is about 406.0143814621.

The spelling of 66930528 in words is "sixty-six million, nine hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 137 168 224 274 336 411 548 672 727 822 959 1096 1454 1644 1918 2181 2192 2877 2908 3288 3836 4362 4384 5089 5754 5816 6576 7672 8724 10178 11508 11632 13152 15267 15344 17448 20356 23016 23264 30534 30688 34896 40712 46032 61068 69792 81424 92064 99599 122136 162848 199198 244272 298797 398396 488544 597594 697193 796792 1195188 1394386 1593584 2091579 2390376 2788772 3187168 4183158 4780752 5577544 8366316 9561504 11155088 16732632 22310176 33465264 66930528