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4155140 = 22511217101
BaseRepresentation
bin1111110110011100000100
321211002210002
433312130010
52030431030
6225020432
750214053
oct17663404
97732702
104155140
112388900
121484718
13b26382
147a239a
15571245
hex3f6704

4155140 has 72 divisors (see below), whose sum is σ = 10255896. Its totient is φ = 1408000.

The previous prime is 4155121. The next prime is 4155161. The reversal of 4155140 is 415514.

It can be written as a sum of positive squares in 4 ways, for example, as 1982464 + 2172676 = 1408^2 + 1474^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41090 + ... + 41190.

It is an arithmetic number, because the mean of its divisors is an integer number (142443).

Almost surely, 24155140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4155140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127948).

4155140 is an abundant number, since it is smaller than the sum of its proper divisors (6100756).

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

4155140 is a wasteful number, since it uses less digits than its factorization.

4155140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 4155140 is about 2038.4160517421. The cubic root of 4155140 is about 160.7663754021.

It can be divided in two parts, 415 and 5140, that added together give a palindrome (5555).

The spelling of 4155140 in words is "four million, one hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 101 110 121 170 187 202 220 242 340 374 404 484 505 605 748 935 1010 1111 1210 1717 1870 2020 2057 2222 2420 3434 3740 4114 4444 5555 6868 8228 8585 10285 11110 12221 17170 18887 20570 22220 24442 34340 37774 41140 48884 61105 75548 94435 122210 188870 207757 244420 377740 415514 831028 1038785 2077570 4155140