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2455140 = 2235172983
BaseRepresentation
bin1001010111011001100100
311121201211010
421113121210
51112031030
6124342220
726603562
oct11273144
94551733
102455140
111427646
129a4970
1367c65c
1447ca32
153376b0
hex257664

2455140 has 96 divisors (see below), whose sum is σ = 7620480. Its totient is φ = 587776.

The previous prime is 2455133. The next prime is 2455147. The reversal of 2455140 is 415542.

2455140 = T145 + T146 + ... + T260.

2455140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2455133) and next prime (2455147).

It is not an unprimeable number, because it can be changed into a prime (2455147) 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 31 ways as a sum of consecutive naturals, for example, 29539 + ... + 29621.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

22455140 is an apocalyptic number.

2455140 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 2455140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810240).

2455140 is an abundant number, since it is smaller than the sum of its proper divisors (5165340).

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

2455140 is a wasteful number, since it uses less digits than its factorization.

2455140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 2455140 is about 1566.8886367576. Note that the first 3 decimals coincide. The cubic root of 2455140 is about 134.9041844120.

The spelling of 2455140 in words is "two million, four hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 29 30 34 51 58 60 68 83 85 87 102 116 145 166 170 174 204 249 255 290 332 340 348 415 435 493 498 510 580 830 870 986 996 1020 1245 1411 1479 1660 1740 1972 2407 2465 2490 2822 2958 4233 4814 4930 4980 5644 5916 7055 7221 7395 8466 9628 9860 12035 14110 14442 14790 16932 21165 24070 28220 28884 29580 36105 40919 42330 48140 72210 81838 84660 122757 144420 163676 204595 245514 409190 491028 613785 818380 1227570 2455140