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4145040 = 2433519101
BaseRepresentation
bin1111110011111110010000
321210120221000
433303332100
52030120130
6224502000
750142444
oct17637620
97716830
104145040
112381259
12147a900
13b218b3
1479c824
1556d260
hex3f3f90

4145040 has 160 divisors (see below), whose sum is σ = 15177600. Its totient is φ = 1036800.

The previous prime is 4145033. The next prime is 4145047. The reversal of 4145040 is 405414.

It is an interprime number because it is at equal distance from previous prime (4145033) and next prime (4145047).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4145047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40990 + ... + 41090.

It is an arithmetic number, because the mean of its divisors is an integer number (94860).

Almost surely, 24145040 is an apocalyptic number.

4145040 is a gapful number since it is divisible by the number (40) 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 4145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588800).

4145040 is an abundant number, since it is smaller than the sum of its proper divisors (11032560).

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

4145040 is a wasteful number, since it uses less digits than its factorization.

4145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4145040 is about 2035.9371306600. The cubic root of 4145040 is about 160.6360101362.

The spelling of 4145040 in words is "four million, one hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 101 108 114 120 135 144 152 171 180 190 202 216 228 240 270 285 303 304 342 360 380 404 432 456 505 513 540 570 606 684 720 760 808 855 909 912 1010 1026 1080 1140 1212 1368 1515 1520 1616 1710 1818 1919 2020 2052 2160 2280 2424 2565 2727 2736 3030 3420 3636 3838 4040 4104 4545 4560 4848 5130 5454 5757 6060 6840 7272 7676 8080 8208 9090 9595 10260 10908 11514 12120 13635 13680 14544 15352 17271 18180 19190 20520 21816 23028 24240 27270 28785 30704 34542 36360 38380 41040 43632 46056 51813 54540 57570 69084 72720 76760 86355 92112 103626 109080 115140 138168 153520 172710 207252 218160 230280 259065 276336 345420 414504 460560 518130 690840 829008 1036260 1381680 2072520 4145040