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4145940 = 2232531743
BaseRepresentation
bin1111110100001100010100
321210122011100
433310030110
52030132230
6224510100
750145201
oct17641424
97718140
104145940
1123819a7
12147b330
13b22126
1479cca8
1556d660
hex3f4314

4145940 has 72 divisors (see below), whose sum is σ = 12999168. Its totient is φ = 1068480.

The previous prime is 4145891. The next prime is 4145951. The reversal of 4145940 is 495414.

4145940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5209 + ... + 5951.

It is an arithmetic number, because the mean of its divisors is an integer number (180544).

Almost surely, 24145940 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 4145940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499584).

4145940 is an abundant number, since it is smaller than the sum of its proper divisors (8853228).

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

4145940 is a wasteful number, since it uses less digits than its factorization.

4145940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4145940 is about 2036.1581470996. The cubic root of 4145940 is about 160.6476354319.

The spelling of 4145940 in words is "four million, one hundred forty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 743 930 1116 1395 1486 1860 2229 2790 2972 3715 4458 5580 6687 7430 8916 11145 13374 14860 22290 23033 26748 33435 44580 46066 66870 69099 92132 115165 133740 138198 207297 230330 276396 345495 414594 460660 690990 829188 1036485 1381980 2072970 4145940