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47106120 = 2335794969
BaseRepresentation
bin1011001110110…
…0100001001000
310021122020110010
42303230201020
544024343440
64401351520
71111252425
oct263544110
9107566403
1047106120
1124654586
12139385a0
1399b4159
146382d4c
154207580
hex2cec848

47106120 has 64 divisors (see below), whose sum is σ = 143136000. Its totient is φ = 12400128.

The previous prime is 47106119. The next prime is 47106151. The reversal of 47106120 is 2160174.

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 15 ways as a sum of consecutive naturals, for example, 6996 + ... + 11964.

It is an arithmetic number, because the mean of its divisors is an integer number (2236500).

Almost surely, 247106120 is an apocalyptic number.

47106120 is a gapful number since it is divisible by the number (40) 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 47106120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71568000).

47106120 is an abundant number, since it is smaller than the sum of its proper divisors (96029880).

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

47106120 is a wasteful number, since it uses less digits than its factorization.

47106120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5062 (or 5058 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 47106120 is about 6863.3898330198. The cubic root of 47106120 is about 361.1540128034.

Adding to 47106120 its reverse (2160174), we get a palindrome (49266294).

The spelling of 47106120 in words is "forty-seven million, one hundred six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2370 3160 4740 4969 9480 9938 14907 19876 24845 29814 39752 49690 59628 74535 99380 119256 149070 198760 298140 392551 596280 785102 1177653 1570204 1962755 2355306 3140408 3925510 4710612 5888265 7851020 9421224 11776530 15702040 23553060 47106120