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4145960 = 2357131767
BaseRepresentation
bin1111110100001100101000
321210122012002
433310030220
52030132320
6224510132
750145230
oct17641450
97718162
104145960
112381a15
12147b348
13b22140
1479ccc0
1556d675
hex3f4328

4145960 has 128 divisors (see below), whose sum is σ = 12337920. Its totient is φ = 1216512.

The previous prime is 4145959. The next prime is 4145969. The reversal of 4145960 is 695414.

4145960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4145969) 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, 61847 + ... + 61913.

It is an arithmetic number, because the mean of its divisors is an integer number (96390).

Almost surely, 24145960 is an apocalyptic number.

4145960 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 4145960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168960).

4145960 is an abundant number, since it is smaller than the sum of its proper divisors (8191960).

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

4145960 is a wasteful number, since it uses less digits than its factorization.

4145960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 4145960 is about 2036.1630583035. The cubic root of 4145960 is about 160.6478937527.

The spelling of 4145960 in words is "four million, one hundred forty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 17 20 26 28 34 35 40 52 56 65 67 68 70 85 91 104 119 130 134 136 140 170 182 221 238 260 268 280 335 340 364 442 455 469 476 520 536 595 670 680 728 871 884 910 938 952 1105 1139 1190 1340 1547 1742 1768 1820 1876 2210 2278 2345 2380 2680 3094 3484 3640 3752 4355 4420 4556 4690 4760 5695 6097 6188 6968 7735 7973 8710 8840 9112 9380 11390 12194 12376 14807 15470 15946 17420 18760 22780 24388 29614 30485 30940 31892 34840 39865 45560 48776 59228 60970 61880 63784 74035 79730 103649 118456 121940 148070 159460 207298 243880 296140 318920 414596 518245 592280 829192 1036490 2072980 4145960