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4225920 = 27353171
BaseRepresentation
bin10000000111101110000000
321221200212120
4100013232000
52040212140
6230324240
750630316
oct20075600
97850776
104225920
112426aa6
1214b9680
13b4c65a
147c00b6
155871d0
hex407b80

4225920 has 128 divisors (see below), whose sum is σ = 14100480. Its totient is φ = 1075200.

The previous prime is 4225901. The next prime is 4225931. The reversal of 4225920 is 295224.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59485 + ... + 59555.

It is an arithmetic number, because the mean of its divisors is an integer number (110160).

Almost surely, 24225920 is an apocalyptic number.

4225920 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 4225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050240).

4225920 is an abundant number, since it is smaller than the sum of its proper divisors (9874560).

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

4225920 is a wasteful number, since it uses less digits than its factorization.

4225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 4225920 is about 2055.7042588855. The cubic root of 4225920 is about 161.6740894786.

The spelling of 4225920 in words is "four million, two hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 71 80 93 96 120 124 128 142 155 160 186 192 213 240 248 284 310 320 355 372 384 426 465 480 496 568 620 640 710 744 852 930 960 992 1065 1136 1240 1420 1488 1704 1860 1920 1984 2130 2201 2272 2480 2840 2976 3408 3720 3968 4260 4402 4544 4960 5680 5952 6603 6816 7440 8520 8804 9088 9920 11005 11360 11904 13206 13632 14880 17040 17608 19840 22010 22720 26412 27264 29760 33015 34080 35216 44020 45440 52824 59520 66030 68160 70432 88040 105648 132060 136320 140864 176080 211296 264120 281728 352160 422592 528240 704320 845184 1056480 1408640 2112960 4225920