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16668900 = 22325218521
BaseRepresentation
bin111111100101…
…100011100100
31011100212102200
4333211203210
513231401100
61353134500
7261453243
oct77454344
934325380
1016668900
119455656
1256ba430
1335b8171
1422dc95a
1516e3e00
hexfe58e4

16668900 has 54 divisors (see below), whose sum is σ = 52250562. Its totient is φ = 4444800.

The previous prime is 16668887. The next prime is 16668913. The reversal of 16668900 is 986661.

It is an interprime number because it is at equal distance from previous prime (16668887) and next prime (16668913).

It can be written as a sum of positive squares in 3 ways, for example, as 5419584 + 11249316 = 2328^2 + 3354^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8361 + ... + 10160.

It is an arithmetic number, because the mean of its divisors is an integer number (967603).

Almost surely, 216668900 is an apocalyptic number.

16668900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16668900 is an abundant number, since it is smaller than the sum of its proper divisors (35581662).

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

16668900 is a wasteful number, since it uses less digits than its factorization.

16668900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18541 (or 18531 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 16668900 is about 4082.7564218307. The cubic root of 16668900 is about 255.4478864509.

The spelling of 16668900 in words is "sixteen million, six hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 18521 37042 55563 74084 92605 111126 166689 185210 222252 277815 333378 370420 463025 555630 666756 833445 926050 1111260 1389075 1666890 1852100 2778150 3333780 4167225 5556300 8334450 16668900