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4378920 = 2335713401
BaseRepresentation
bin10000101101000100101000
322020110202020
4100231010220
52110111140
6233504440
752135350
oct20550450
98213666
104378920
112520a47
121572120
13ba41a0
1481db60
155b76d0
hex42d128

4378920 has 128 divisors (see below), whose sum is σ = 16208640. Its totient is φ = 921600.

The previous prime is 4378909. The next prime is 4378939. The reversal of 4378920 is 298734.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10720 + ... + 11120.

It is an arithmetic number, because the mean of its divisors is an integer number (126630).

Almost surely, 24378920 is an apocalyptic number.

4378920 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 4378920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8104320).

4378920 is an abundant number, since it is smaller than the sum of its proper divisors (11829720).

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

4378920 is a wasteful number, since it uses less digits than its factorization.

4378920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 4378920 is about 2092.5869157576. The cubic root of 4378920 is about 163.6021488510.

The spelling of 4378920 in words is "four million, three hundred seventy-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 401 420 455 520 546 728 780 802 840 910 1092 1203 1365 1560 1604 1820 2005 2184 2406 2730 2807 3208 3640 4010 4812 5213 5460 5614 6015 8020 8421 9624 10426 10920 11228 12030 14035 15639 16040 16842 20852 22456 24060 26065 28070 31278 33684 36491 41704 42105 48120 52130 56140 62556 67368 72982 78195 84210 104260 109473 112280 125112 145964 156390 168420 182455 208520 218946 291928 312780 336840 364910 437892 547365 625560 729820 875784 1094730 1459640 2189460 4378920