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4385040 = 2435112151
BaseRepresentation
bin10000101110100100010000
322020210010220
4100232210100
52110310130
6233553040
752162242
oct20564420
98223126
104385040
112525600
121575780
13ba6bca
14822092
155b9410
hex42e910

4385040 has 120 divisors (see below), whose sum is σ = 15040704. Its totient is φ = 1056000.

The previous prime is 4385027. The next prime is 4385041. The reversal of 4385040 is 405834.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4385040.

It is not an unprimeable number, because it can be changed into a prime (4385041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28965 + ... + 29115.

Almost surely, 24385040 is an apocalyptic number.

4385040 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 4385040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7520352).

4385040 is an abundant number, since it is smaller than the sum of its proper divisors (10655664).

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

4385040 is a wasteful number, since it uses less digits than its factorization.

4385040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4385040 is about 2094.0487100352. The cubic root of 4385040 is about 163.6783304258.

4385040 divided by its sum of digits (24) gives a triangular number (182710 = T604).

The spelling of 4385040 in words is "four million, three hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 151 165 176 220 240 242 264 302 330 363 440 453 484 528 604 605 660 726 755 880 906 968 1208 1210 1320 1452 1510 1661 1812 1815 1936 2265 2416 2420 2640 2904 3020 3322 3624 3630 4530 4840 4983 5808 6040 6644 7248 7260 8305 9060 9680 9966 12080 13288 14520 16610 18120 18271 19932 24915 26576 29040 33220 36240 36542 39864 49830 54813 66440 73084 79728 91355 99660 109626 132880 146168 182710 199320 219252 274065 292336 365420 398640 438504 548130 730840 877008 1096260 1461680 2192520 4385040