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3155040 = 253257313
BaseRepresentation
bin1100000010010001100000
312221021220100
430002101200
51301430130
6151342400
735550240
oct14022140
95837810
103155040
111865479
121081a00
138660b5
145c1b20
15424c60
hex302460

3155040 has 144 divisors (see below), whose sum is σ = 12343968. Its totient is φ = 718848.

The previous prime is 3155029. The next prime is 3155041. The reversal of 3155040 is 405513.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3155041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9924 + ... + 10236.

It is an arithmetic number, because the mean of its divisors is an integer number (85722).

Almost surely, 23155040 is an apocalyptic number.

3155040 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 3155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171984).

3155040 is an abundant number, since it is smaller than the sum of its proper divisors (9188928).

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

3155040 is a wasteful number, since it uses less digits than its factorization.

3155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 3155040 is about 1776.2432265881. The cubic root of 3155040 is about 146.6678604127.

It can be divided in two parts, 315 and 5040, that multiplied together give a square (1587600 = 12602).

The spelling of 3155040 in words is "three million, one hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 313 315 336 360 420 480 504 560 626 630 672 720 840 939 1008 1120 1252 1260 1440 1565 1680 1878 2016 2191 2504 2520 2817 3130 3360 3756 4382 4695 5008 5040 5634 6260 6573 7512 8764 9390 10016 10080 10955 11268 12520 13146 14085 15024 17528 18780 19719 21910 22536 25040 26292 28170 30048 32865 35056 37560 39438 43820 45072 50080 52584 56340 65730 70112 75120 78876 87640 90144 98595 105168 112680 131460 150240 157752 175280 197190 210336 225360 262920 315504 350560 394380 450720 525840 631008 788760 1051680 1577520 3155040