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66661400 = 23521325639
BaseRepresentation
bin1111111001001…
…0110000011000
311122102202020202
43332102300120
5114031131100
610340441332
71436420051
oct376226030
9148382222
1066661400
11346a0773
121a3a9248
1310a70020
148bd3728
155cbb7d5
hex3f92c18

66661400 has 48 divisors (see below), whose sum is σ = 166916400. Its totient is φ = 24612480.

The previous prime is 66661391. The next prime is 66661409. The reversal of 66661400 is 416666.

66661400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66661391) and next prime (66661409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66661409) 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 11 ways as a sum of consecutive naturals, for example, 10220 + ... + 15419.

It is an arithmetic number, because the mean of its divisors is an integer number (3477425).

Almost surely, 266661400 is an apocalyptic number.

It is an amenable number.

66661400 is an abundant number, since it is smaller than the sum of its proper divisors (100255000).

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

66661400 is a wasteful number, since it uses less digits than its factorization.

66661400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25668 (or 25659 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 66661400 is about 8164.6432867578. The cubic root of 66661400 is about 405.4694551135.

The spelling of 66661400 in words is "sixty-six million, six hundred sixty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 25639 51278 102556 128195 205112 256390 333307 512780 640975 666614 1025560 1281950 1333228 1666535 2563900 2666456 3333070 5127800 6666140 8332675 13332280 16665350 33330700 66661400