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2389480 = 235314147
BaseRepresentation
bin1001000111010111101000
311111101202021
421013113220
51102430410
6123114224
726211262
oct11072750
94441667
102389480
111392285
12972974
136587c2
14462b32
15322eda
hex2475e8

2389480 has 64 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 883200.

The previous prime is 2389463. The next prime is 2389481. The reversal of 2389480 is 849832.

2389480 is nontrivially palindromic in base 7.

2389480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23894802 = 11419229340800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2389481) 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 15 ways as a sum of consecutive naturals, for example, 50817 + ... + 50863.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

22389480 is an apocalyptic number.

2389480 is a gapful number since it is divisible by the number (20) 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 2389480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040).

2389480 is an abundant number, since it is smaller than the sum of its proper divisors (3416600).

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

2389480 is a wasteful number, since it uses less digits than its factorization.

2389480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 2389480 is about 1545.7942942061. The cubic root of 2389480 is about 133.6906803068.

The spelling of 2389480 in words is "two million, three hundred eighty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 41 47 62 82 94 124 155 164 188 205 235 248 310 328 376 410 470 620 820 940 1240 1271 1457 1640 1880 1927 2542 2914 3854 5084 5828 6355 7285 7708 9635 10168 11656 12710 14570 15416 19270 25420 29140 38540 50840 58280 59737 77080 119474 238948 298685 477896 597370 1194740 2389480