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4425120 = 253257439
BaseRepresentation
bin10000111000010110100000
322022211010100
4100320112200
52113100440
6234502400
752420140
oct20702640
98284110
104425120
112552727
121594a00
13bbc21b
14832920
155c6230
hex4385a0

4425120 has 144 divisors (see below), whose sum is σ = 17297280. Its totient is φ = 1009152.

The previous prime is 4425107. The next prime is 4425133. The reversal of 4425120 is 215244.

It is an interprime number because it is at equal distance from previous prime (4425107) and next prime (4425133).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4425093 and 4425102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9861 + ... + 10299.

It is an arithmetic number, because the mean of its divisors is an integer number (120120).

Almost surely, 24425120 is an apocalyptic number.

4425120 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 4425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648640).

4425120 is an abundant number, since it is smaller than the sum of its proper divisors (12872160).

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

4425120 is a wasteful number, since it uses less digits than its factorization.

4425120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4425120 is about 2103.5969195642. The cubic root of 4425120 is about 164.1755011980.

The spelling of 4425120 in words is "four million, four hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 439 480 504 560 630 672 720 840 878 1008 1120 1260 1317 1440 1680 1756 2016 2195 2520 2634 3073 3360 3512 3951 4390 5040 5268 6146 6585 7024 7902 8780 9219 10080 10536 12292 13170 14048 15365 15804 17560 18438 19755 21072 24584 26340 27657 30730 31608 35120 36876 39510 42144 46095 49168 52680 55314 61460 63216 70240 73752 79020 92190 98336 105360 110628 122920 126432 138285 147504 158040 184380 210720 221256 245840 276570 295008 316080 368760 442512 491680 553140 632160 737520 885024 1106280 1475040 2212560 4425120