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3874860 = 223251119103
BaseRepresentation
bin1110110010000000101100
321021212022100
432302000230
51442443420
6215015100
744635653
oct16620054
97255270
103874860
112207270
12136a490
13a58922
1472c19a
15518190
hex3b202c

3874860 has 144 divisors (see below), whose sum is σ = 13628160. Its totient is φ = 881280.

The previous prime is 3874853. The next prime is 3874867. The reversal of 3874860 is 684783.

It is an interprime number because it is at equal distance from previous prime (3874853) and next prime (3874867).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3874867) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37569 + ... + 37671.

It is an arithmetic number, because the mean of its divisors is an integer number (94640).

Almost surely, 23874860 is an apocalyptic number.

3874860 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 3874860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6814080).

3874860 is an abundant number, since it is smaller than the sum of its proper divisors (9753300).

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

3874860 is a wasteful number, since it uses less digits than its factorization.

3874860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3874860 is about 1968.4664081462. The cubic root of 3874860 is about 157.0671410127.

The spelling of 3874860 in words is "three million, eight hundred seventy-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 103 110 114 132 165 171 180 190 198 206 209 220 228 285 309 330 342 380 396 412 418 495 515 570 618 627 660 684 836 855 927 990 1030 1045 1133 1140 1236 1254 1545 1710 1854 1881 1957 1980 2060 2090 2266 2508 3090 3135 3399 3420 3708 3762 3914 4180 4532 4635 5665 5871 6180 6270 6798 7524 7828 9270 9405 9785 10197 11330 11742 12540 13596 16995 17613 18540 18810 19570 20394 21527 22660 23484 29355 33990 35226 37620 39140 40788 43054 50985 58710 64581 67980 70452 86108 88065 101970 107635 117420 129162 176130 193743 203940 215270 258324 322905 352260 387486 430540 645810 774972 968715 1291620 1937430 3874860