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8161440 = 253572347
BaseRepresentation
bin11111001000100010100000
3120100122101120
4133020202200
54042131230
6450532240
7126241200
oct37104240
916318346
108161440
1146748a1
122897080
1318c9a71
141126400
15ab3310
hex7c88a0

8161440 has 144 divisors (see below), whose sum is σ = 29992032. Its totient is φ = 1860096.

The previous prime is 8161429. The next prime is 8161451. The reversal of 8161440 is 441618.

8161440 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 (8161429) and next prime (8161451).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 8161440.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23347 + ... + 23693.

It is an arithmetic number, because the mean of its divisors is an integer number (208278).

Almost surely, 28161440 is an apocalyptic number.

8161440 is a gapful number since it is divisible by the number (80) 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 8161440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14996016).

8161440 is an abundant number, since it is smaller than the sum of its proper divisors (21830592).

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

8161440 is a wasteful number, since it uses less digits than its factorization.

8161440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8161440 is about 2856.8234107134. The cubic root of 8161440 is about 201.3363838356.

The spelling of 8161440 in words is "eight million, one hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 347 392 420 480 490 560 588 672 694 735 784 840 980 1041 1120 1176 1388 1470 1568 1680 1735 1960 2082 2352 2429 2776 2940 3360 3470 3920 4164 4704 4858 5205 5552 5880 6940 7287 7840 8328 9716 10410 11104 11760 12145 13880 14574 16656 17003 19432 20820 23520 24290 27760 29148 33312 34006 36435 38864 41640 48580 51009 55520 58296 68012 72870 77728 83280 85015 97160 102018 116592 136024 145740 166560 170030 194320 204036 233184 255045 272048 291480 340060 388640 408072 510090 544096 582960 680120 816144 1020180 1165920 1360240 1632288 2040360 2720480 4080720 8161440