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66926080 = 295132011
BaseRepresentation
bin1111111101001…
…1011000000000
311122221012022201
43333103120000
5114113113310
610350242544
71441601524
oct377233000
9148835281
1066926080
1134861611
121a4b6454
1310b33640
148c61d84
155d1ee3a
hex3fd3600

66926080 has 80 divisors (see below), whose sum is σ = 172895184. Its totient is φ = 24698880.

The previous prime is 66926071. The next prime is 66926129. The reversal of 66926080 is 8062966.

66926080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 7 ways as a sum of consecutive naturals, for example, 32275 + ... + 34285.

Almost surely, 266926080 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 66926080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86447592).

66926080 is an abundant number, since it is smaller than the sum of its proper divisors (105969104).

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

66926080 is a wasteful number, since it uses less digits than its factorization.

66926080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 66926080 is about 8180.8361430846. The cubic root of 66926080 is about 406.0053871012.

The spelling of 66926080 in words is "sixty-six million, nine hundred twenty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1040 1280 1664 2011 2080 2560 3328 4022 4160 6656 8044 8320 10055 16088 16640 20110 26143 32176 33280 40220 52286 64352 80440 104572 128704 130715 160880 209144 257408 261430 321760 418288 514816 522860 643520 836576 1029632 1045720 1287040 1673152 2091440 2574080 3346304 4182880 5148160 6692608 8365760 13385216 16731520 33463040 66926080