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2413980 = 2232513411
BaseRepresentation
bin1001001101010110011100
311112122100200
421031112130
51104221410
6123423500
726342562
oct11152634
94478320
102413980
1113a9728
12984b90
136669ba
1446ba32
1532a3c0
hex24d59c

2413980 has 36 divisors (see below), whose sum is σ = 7322952. Its totient is φ = 643680.

The previous prime is 2413973. The next prime is 2413981. The reversal of 2413980 is 893142.

2413980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413981) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6526 + ... + 6885.

22413980 is an apocalyptic number.

2413980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2413980 is an abundant number, since it is smaller than the sum of its proper divisors (4908972).

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

2413980 is a wasteful number, since it uses less digits than its factorization.

2413980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13426 (or 13421 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2413980 is about 1553.6988125116. The cubic root of 2413980 is about 134.1460500108.

The spelling of 2413980 in words is "two million, four hundred thirteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 13411 26822 40233 53644 67055 80466 120699 134110 160932 201165 241398 268220 402330 482796 603495 804660 1206990 2413980