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3869040 = 24357347
BaseRepresentation
bin1110110000100101110000
321021120022210
432300211300
51442302130
6214532120
744613000
oct16604560
97246283
103869040
11220295a
121367040
13a56096
1472a000
155165b0
hex3b0970

3869040 has 160 divisors (see below), whose sum is σ = 14284800. Its totient is φ = 865536.

The previous prime is 3869029. The next prime is 3869051. The reversal of 3869040 is 409683.

3869040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3869029) and next prime (3869051).

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

It is a junction number, because it is equal to n+sod(n) for n = 3868989 and 3869007.

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, 82297 + ... + 82343.

It is an arithmetic number, because the mean of its divisors is an integer number (89280).

Almost surely, 23869040 is an apocalyptic number.

3869040 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 3869040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142400).

3869040 is an abundant number, since it is smaller than the sum of its proper divisors (10415760).

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

3869040 is a wasteful number, since it uses less digits than its factorization.

3869040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3869040 is about 1966.9875444445. The cubic root of 3869040 is about 156.9884638636.

The spelling of 3869040 in words is "three million, eight hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 47 48 49 56 60 70 80 84 94 98 105 112 120 140 141 147 168 188 196 210 235 240 245 280 282 294 329 336 343 376 392 420 470 490 560 564 588 658 686 705 735 752 784 840 940 980 987 1029 1128 1176 1316 1372 1410 1470 1645 1680 1715 1880 1960 1974 2058 2256 2303 2352 2632 2744 2820 2940 3290 3430 3760 3920 3948 4116 4606 4935 5145 5264 5488 5640 5880 6580 6860 6909 7896 8232 9212 9870 10290 11280 11515 11760 13160 13720 13818 15792 16121 16464 18424 19740 20580 23030 26320 27440 27636 32242 34545 36848 39480 41160 46060 48363 55272 64484 69090 78960 80605 82320 92120 96726 110544 128968 138180 161210 184240 193452 241815 257936 276360 322420 386904 483630 552720 644840 773808 967260 1289680 1934520 3869040