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66514080 = 2535138571
BaseRepresentation
bin1111110110111…
…0110010100000
311122011021011110
43331232302200
5114011422310
610333343320
71435234413
oct375566240
9148137143
1066514080
1134600016
121a337b40
1310a1ac59
148b95b7a
155c8cd20
hex3f6eca0

66514080 has 48 divisors (see below), whose sum is σ = 209520864. Its totient is φ = 17736960.

The previous prime is 66514069. The next prime is 66514087. The reversal of 66514080 is 8041566.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (66514087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68806 + ... + 69765.

It is an arithmetic number, because the mean of its divisors is an integer number (4365018).

Almost surely, 266514080 is an apocalyptic number.

66514080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66514080 is an abundant number, since it is smaller than the sum of its proper divisors (143006784).

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

66514080 is a wasteful number, since it uses less digits than its factorization.

66514080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138589 (or 138581 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 66514080 is about 8155.6164696484. The cubic root of 66514080 is about 405.1705424114.

It can be divided in two parts, 6651 and 4080, that added together give a triangular number (10731 = T146).

The spelling of 66514080 in words is "sixty-six million, five hundred fourteen thousand, eighty".

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 138571 277142 415713 554284 692855 831426 1108568 1385710 1662852 2078565 2217136 2771420 3325704 4157130 4434272 5542840 6651408 8314260 11085680 13302816 16628520 22171360 33257040 66514080