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1066406200 = 235231172001
BaseRepresentation
bin111111100100000…
…001000100111000
32202022122001021221
4333210001010320
54140444444300
6253452441424
735266205656
oct7744010470
92668561257
101066406200
114a7a5a842
12259179274
1313cc1acb2
14a18b5dd6
156394c31a
hex3f901138

1066406200 has 48 divisors (see below), whose sum is σ = 2559389760. Its totient is φ = 412800000.

The previous prime is 1066406197. The next prime is 1066406221. The reversal of 1066406200 is 26046601.

It is a happy number.

It is a super-2 number, since 2×10664062002 = 2274444366796880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79801 + ... + 92200.

It is an arithmetic number, because the mean of its divisors is an integer number (53320620).

Almost surely, 21066406200 is an apocalyptic number.

1066406200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1066406200 is an abundant number, since it is smaller than the sum of its proper divisors (1492983560).

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

1066406200 is a wasteful number, since it uses less digits than its factorization.

1066406200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172048 (or 172039 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 1066406200 is about 32655.8754284738. The cubic root of 1066406200 is about 1021.6627372280.

The spelling of 1066406200 in words is "one billion, sixty-six million, four hundred six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 172001 344002 688004 860005 1376008 1720010 3440020 4300025 5332031 6880040 8600050 10664062 17200100 21328124 26660155 34400200 42656248 53320310 106640620 133300775 213281240 266601550 533203100 1066406200