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3855720 = 23351123127
BaseRepresentation
bin1110101101010101101000
321020220001110
432231111220
51441340340
6214350320
744526111
oct16552550
97226043
103855720
1121a3950
12135b3a0
13a4ccbb
14725208
15512680
hex3ad568

3855720 has 128 divisors (see below), whose sum is σ = 13271040. Its totient is φ = 887040.

The previous prime is 3855703. The next prime is 3855757. The reversal of 3855720 is 275583.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent 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, 30297 + ... + 30423.

It is an arithmetic number, because the mean of its divisors is an integer number (103680).

Almost surely, 23855720 is an apocalyptic number.

3855720 is a gapful number since it is divisible by the number (30) 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 3855720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6635520).

3855720 is an abundant number, since it is smaller than the sum of its proper divisors (9415320).

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

3855720 is a wasteful number, since it uses less digits than its factorization.

3855720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 3855720 is about 1963.5987370132. The cubic root of 3855720 is about 156.8081012405.

It can be divided in two parts, 385 and 5720, that added together give a triangular number (6105 = T110).

The spelling of 3855720 in words is "three million, eight hundred fifty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 127 132 138 165 184 220 230 253 254 264 276 330 345 381 440 460 506 508 552 635 660 690 759 762 920 1012 1016 1265 1270 1320 1380 1397 1518 1524 1905 2024 2530 2540 2760 2794 2921 3036 3048 3795 3810 4191 5060 5080 5588 5842 6072 6985 7590 7620 8382 8763 10120 11176 11684 13970 14605 15180 15240 16764 17526 20955 23368 27940 29210 30360 32131 33528 35052 41910 43815 55880 58420 64262 70104 83820 87630 96393 116840 128524 160655 167640 175260 192786 257048 321310 350520 385572 481965 642620 771144 963930 1285240 1927860 3855720