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2415140 = 2257131327
BaseRepresentation
bin1001001101101000100100
311112200221122
421031220210
51104241030
6123433112
726346140
oct11155044
94480848
102415140
1113aa592
12985798
136673a0
1446c220
1532a8e5
hex24da24

2415140 has 48 divisors (see below), whose sum is σ = 6246912. Its totient is φ = 763776.

The previous prime is 2415137. The next prime is 2415143. The reversal of 2415140 is 415142.

It is an interprime number because it is at equal distance from previous prime (2415137) and next prime (2415143).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (2415143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1157 + ... + 2483.

It is an arithmetic number, because the mean of its divisors is an integer number (130144).

22415140 is an apocalyptic number.

2415140 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 2415140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123456).

2415140 is an abundant number, since it is smaller than the sum of its proper divisors (3831772).

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

2415140 is a wasteful number, since it uses less digits than its factorization.

2415140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2415140 is about 1554.0720704009. The cubic root of 2415140 is about 134.1675338258.

The spelling of 2415140 in words is "two million, four hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1327 1820 2654 5308 6635 9289 13270 17251 18578 26540 34502 37156 46445 69004 86255 92890 120757 172510 185780 241514 345020 483028 603785 1207570 2415140