Search a number
-
+
47100120 = 23353891009
BaseRepresentation
bin1011001110101…
…1000011011000
310021121221012220
42303223003120
544024200440
64401304040
71111226064
oct263530330
9107557186
1047100120
1124650021
1213935020
1399b14c2
146380aa4
1542058d0
hex2ceb0d8

47100120 has 64 divisors (see below), whose sum is σ = 141804000. Its totient is φ = 12515328.

The previous prime is 47100073. The next prime is 47100121. The reversal of 47100120 is 2100174.

47100120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 47100120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47100121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46176 + ... + 47184.

Almost surely, 247100120 is an apocalyptic number.

47100120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47100120 is an abundant number, since it is smaller than the sum of its proper divisors (94703880).

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

47100120 is a wasteful number, since it uses less digits than its factorization.

47100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 47100120 is about 6862.9527173076. The cubic root of 47100120 is about 361.1386785178.

Adding to 47100120 its reverse (2100174), we get a palindrome (49200294).

The spelling of 47100120 in words is "forty-seven million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 389 778 1009 1167 1556 1945 2018 2334 3027 3112 3890 4036 4668 5045 5835 6054 7780 8072 9336 10090 11670 12108 15135 15560 20180 23340 24216 30270 40360 46680 60540 121080 392501 785002 1177503 1570004 1962505 2355006 3140008 3925010 4710012 5887515 7850020 9420024 11775030 15700040 23550060 47100120