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47066130 = 2335296011
BaseRepresentation
bin1011001110001…
…0110000010010
310021120012121000
42303202300102
544022104010
64400442430
71111025016
oct263426022
9107505530
1047066130
1124627531
1213919416
13999bba7
146372546
1541ea7c0
hex2ce2c12

47066130 has 64 divisors (see below), whose sum is σ = 129859200. Its totient is φ = 12116160.

The previous prime is 47066099. The next prime is 47066143. The reversal of 47066130 is 3166074.

47066130 is a `hidden beast` number, since 47 + 0 + 6 + 613 + 0 = 666.

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 = 47066094 and 47066103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4825 + ... + 10835.

It is an arithmetic number, because the mean of its divisors is an integer number (2029050).

Almost surely, 247066130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47066130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64929600).

47066130 is an abundant number, since it is smaller than the sum of its proper divisors (82793070).

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

47066130 is a wasteful number, since it uses less digits than its factorization.

47066130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6056 (or 6050 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 47066130 is about 6860.4759310124. The cubic root of 47066130 is about 361.0517851960.

The spelling of 47066130 in words is "forty-seven million, sixty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 2610 3915 6011 7830 12022 18033 30055 36066 54099 60110 90165 108198 162297 174319 180330 270495 324594 348638 522957 540990 811485 871595 1045914 1568871 1622970 1743190 2614785 3137742 4706613 5229570 7844355 9413226 15688710 23533065 47066130