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66261660 = 22355367311
BaseRepresentation
bin1111110011000…
…1001010011100
311121200102220120
43330301022130
5113430333120
610324114540
71433133453
oct374611234
9147612816
1066261660
1134448403
121a235a50
13109600aa
148b2bb9a
155c3d140
hex3f3129c

66261660 has 96 divisors (see below), whose sum is σ = 192471552. Its totient is φ = 17022720.

The previous prime is 66261653. The next prime is 66261719. The reversal of 66261660 is 6616266.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212905 + ... + 213215.

It is an arithmetic number, because the mean of its divisors is an integer number (2004912).

Almost surely, 266261660 is an apocalyptic number.

66261660 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 66261660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96235776).

66261660 is an abundant number, since it is smaller than the sum of its proper divisors (126209892).

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

66261660 is a wasteful number, since it uses less digits than its factorization.

66261660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 66261660 is about 8140.1265346431. The cubic root of 66261660 is about 404.6573538413.

It can be divided in two parts, 66 and 261660, that added together give a triangular number (261726 = T723).

The spelling of 66261660 in words is "sixty-six million, two hundred sixty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 67 106 134 159 201 212 265 268 311 318 335 402 530 622 636 670 795 804 933 1005 1060 1244 1340 1555 1590 1866 2010 3110 3180 3551 3732 4020 4665 6220 7102 9330 10653 14204 16483 17755 18660 20837 21306 32966 35510 41674 42612 49449 53265 62511 65932 71020 82415 83348 98898 104185 106530 125022 164830 197796 208370 213060 247245 250044 312555 329660 416740 494490 625110 988980 1104361 1250220 2208722 3313083 4417444 5521805 6626166 11043610 13252332 16565415 22087220 33130830 66261660