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3875620 = 2257193147
BaseRepresentation
bin1110110010001100100100
321021220100111
432302030210
51443004440
6215022404
744641120
oct16621444
97256314
103875620
1122078a1
12136aa04
13a59088
1472c580
155184ea
hex3b2324

3875620 has 96 divisors (see below), whose sum is σ = 10321920. Its totient is φ = 1192320.

The previous prime is 3875617. The next prime is 3875623. The reversal of 3875620 is 265783.

It is an interprime number because it is at equal distance from previous prime (3875617) and next prime (3875623).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3875623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82437 + ... + 82483.

It is an arithmetic number, because the mean of its divisors is an integer number (107520).

Almost surely, 23875620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3875620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160960).

3875620 is an abundant number, since it is smaller than the sum of its proper divisors (6446300).

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

3875620 is a wasteful number, since it uses less digits than its factorization.

3875620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 3875620 is about 1968.6594423617. The cubic root of 3875620 is about 157.0774091879.

It can be divided in two parts, 3875 and 620, that multiplied together give a square (2402500 = 15502).

The spelling of 3875620 in words is "three million, eight hundred seventy-five thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 31 35 38 47 62 70 76 94 95 124 133 140 155 188 190 217 235 266 310 329 380 434 470 532 589 620 658 665 868 893 940 1085 1178 1316 1330 1457 1645 1786 2170 2356 2660 2914 2945 3290 3572 4123 4340 4465 5828 5890 6251 6580 7285 8246 8930 10199 11780 12502 14570 16492 17860 20398 20615 25004 27683 29140 31255 40796 41230 50995 55366 62510 82460 101990 110732 125020 138415 193781 203980 276830 387562 553660 775124 968905 1937810 3875620