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66900000 = 25355223
BaseRepresentation
bin1111111100110…
…1000000100000
311122212212112210
43333031000200
5114111300000
610345522120
71441432506
oct377150040
9148785483
1066900000
1134843a62
121a4a3340
1310b247cb
148c56676
155d17350
hex3fcd020

66900000 has 144 divisors (see below), whose sum is σ = 220485888. Its totient is φ = 17760000.

The previous prime is 66899999. The next prime is 66900017. The reversal of 66900000 is 966.

It is a super-2 number, since 2×669000002 = 8951220000000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66900000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299889 + ... + 300111.

It is an arithmetic number, because the mean of its divisors is an integer number (1531152).

Almost surely, 266900000 is an apocalyptic number.

66900000 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 66900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110242944).

66900000 is an abundant number, since it is smaller than the sum of its proper divisors (153585888).

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

66900000 is an equidigital number, since it uses as much as digits as its factorization.

66900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 66900000 is about 8179.2420186714. The cubic root of 66900000 is about 405.9526423606.

Adding to 66900000 its reverse (966), we get a palindrome (66900966).

The spelling of 66900000 in words is "sixty-six million, nine hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 223 240 250 300 375 400 446 480 500 600 625 669 750 800 892 1000 1115 1200 1250 1338 1500 1784 1875 2000 2230 2400 2500 2676 3000 3125 3345 3568 3750 4000 4460 5000 5352 5575 6000 6250 6690 7136 7500 8920 9375 10000 10704 11150 12000 12500 13380 15000 16725 17840 18750 20000 21408 22300 25000 26760 27875 30000 33450 35680 37500 44600 50000 53520 55750 60000 66900 75000 83625 89200 100000 107040 111500 133800 139375 150000 167250 178400 223000 267600 278750 300000 334500 418125 446000 535200 557500 669000 696875 836250 892000 1115000 1338000 1393750 1672500 2090625 2230000 2676000 2787500 3345000 4181250 4460000 5575000 6690000 8362500 11150000 13380000 16725000 22300000 33450000 66900000