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66378720 = 2535138289
BaseRepresentation
bin1111110100110…
…1101111100000
311121220101111010
43331031233200
5113443104340
610330420520
71434131652
oct375155740
9147811433
1066378720
1134518351
121a291740
13109a1465
148b5c6d2
155c62b80
hex3f4dbe0

66378720 has 48 divisors (see below), whose sum is σ = 209094480. Its totient is φ = 17700864.

The previous prime is 66378691. The next prime is 66378743. The reversal of 66378720 is 2787366.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×663787202 = 8812268937676800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68665 + ... + 69624.

It is an arithmetic number, because the mean of its divisors is an integer number (4356135).

Almost surely, 266378720 is an apocalyptic number.

66378720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66378720 is an abundant number, since it is smaller than the sum of its proper divisors (142715760).

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

66378720 is a wasteful number, since it uses less digits than its factorization.

66378720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138307 (or 138299 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 66378720 is about 8147.3136677067. The cubic root of 66378720 is about 404.8955072598.

The spelling of 66378720 in words is "sixty-six million, three hundred seventy-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 138289 276578 414867 553156 691445 829734 1106312 1382890 1659468 2074335 2212624 2765780 3318936 4148670 4425248 5531560 6637872 8297340 11063120 13275744 16594680 22126240 33189360 66378720