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66203040 = 25351071289
BaseRepresentation
bin1111110010001…
…0110110100000
311121120110111110
43330202312200
5113421444130
610322543320
71432500531
oct374426640
9147513443
1066203040
1134408362
121a207b40
131093c4c7
148b14688
155c2aab0
hex3f22da0

66203040 has 96 divisors (see below), whose sum is σ = 210651840. Its totient is φ = 17475584.

The previous prime is 66203029. The next prime is 66203047. The reversal of 66203040 is 4030266.

66203040 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 (96).

It is a junction number, because it is equal to n+sod(n) for n = 66202998 and 66203016.

It is not an unprimeable number, because it can be changed into a prime (66203047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 50716 + ... + 52004.

It is an arithmetic number, because the mean of its divisors is an integer number (2194290).

Almost surely, 266203040 is an apocalyptic number.

66203040 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 66203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105325920).

66203040 is an abundant number, since it is smaller than the sum of its proper divisors (144448800).

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

66203040 is a wasteful number, since it uses less digits than its factorization.

66203040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 66203040 is about 8136.5250568040. The cubic root of 66203040 is about 404.5379886224.

The spelling of 66203040 in words is "sixty-six million, two hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 107 120 160 214 240 321 428 480 535 642 856 1070 1284 1289 1605 1712 2140 2568 2578 3210 3424 3867 4280 5136 5156 6420 6445 7734 8560 10272 10312 12840 12890 15468 17120 19335 20624 25680 25780 30936 38670 41248 51360 51560 61872 77340 103120 123744 137923 154680 206240 275846 309360 413769 551692 618720 689615 827538 1103384 1379230 1655076 2068845 2206768 2758460 3310152 4137690 4413536 5516920 6620304 8275380 11033840 13240608 16550760 22067680 33101520 66203040