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4240720 = 245116179
BaseRepresentation
bin10000001011010101010000
321222110011201
4100023111100
52041200340
6230520544
751021421
oct20132520
97873151
104240720
112437130
121506154
13b56303
147c5648
1558b79a
hex40b550

4240720 has 80 divisors (see below), whose sum is σ = 11070720. Its totient is φ = 1497600.

The previous prime is 4240711. The next prime is 4240721. The reversal of 4240720 is 270424.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×42407202 = 35967412236800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53641 + ... + 53719.

It is an arithmetic number, because the mean of its divisors is an integer number (138384).

Almost surely, 24240720 is an apocalyptic number.

4240720 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 4240720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535360).

4240720 is an abundant number, since it is smaller than the sum of its proper divisors (6830000).

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

4240720 is a wasteful number, since it uses less digits than its factorization.

4240720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 4240720 is about 2059.3008522312. The cubic root of 4240720 is about 161.8626076887.

The spelling of 4240720 in words is "four million, two hundred forty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 61 79 80 88 110 122 158 176 220 244 305 316 395 440 488 610 632 671 790 869 880 976 1220 1264 1342 1580 1738 2440 2684 3160 3355 3476 4345 4819 4880 5368 6320 6710 6952 8690 9638 10736 13420 13904 17380 19276 24095 26840 34760 38552 48190 53009 53680 69520 77104 96380 106018 192760 212036 265045 385520 424072 530090 848144 1060180 2120360 4240720