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66900060 = 22335229541
BaseRepresentation
bin1111111100110…
…1000001011100
311122212212122000
43333031001130
5114111300220
610345522300
71441432623
oct377150134
9148785560
1066900060
1134844007
121a4a3390
1310b24846
148c566ba
155d17390
hex3fcd05c

66900060 has 96 divisors (see below), whose sum is σ = 209428800. Its totient is φ = 17729280.

The previous prime is 66900059. The next prime is 66900089. The reversal of 66900060 is 6000966.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 66899997 and 66900033.

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, 123390 + ... + 123930.

It is an arithmetic number, because the mean of its divisors is an integer number (2181550).

Almost surely, 266900060 is an apocalyptic number.

66900060 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 66900060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104714400).

66900060 is an abundant number, since it is smaller than the sum of its proper divisors (142528740).

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

66900060 is a wasteful number, since it uses less digits than its factorization.

66900060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 66900060 is about 8179.2456864921. The cubic root of 66900060 is about 405.9527637216.

The spelling of 66900060 in words is "sixty-six million, nine hundred thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 229 270 458 540 541 687 916 1082 1145 1374 1623 2061 2164 2290 2705 2748 3246 3435 4122 4580 4869 5410 6183 6492 6870 8115 8244 9738 10305 10820 12366 13740 14607 16230 19476 20610 24345 24732 29214 30915 32460 41220 48690 58428 61830 73035 97380 123660 123889 146070 247778 292140 371667 495556 619445 743334 1115001 1238890 1486668 1858335 2230002 2477780 3345003 3716670 4460004 5575005 6690006 7433340 11150010 13380012 16725015 22300020 33450030 66900060