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10295040 = 28357383
BaseRepresentation
bin100111010001…
…011100000000
3201101001010210
4213101130000
510113420130
61004354120
7153335460
oct47213400
921331123
1010295040
1158a18a8
123545940
132195c52
14151dba0
15d855b0
hex9d1700

10295040 has 144 divisors (see below), whose sum is σ = 37675008. Its totient is φ = 2347008.

The previous prime is 10295039. The next prime is 10295063. The reversal of 10295040 is 4059201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10294998 and 10295016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26689 + ... + 27071.

It is an arithmetic number, because the mean of its divisors is an integer number (261632).

Almost surely, 210295040 is an apocalyptic number.

10295040 is a gapful number since it is divisible by the number (10) 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 10295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18837504).

10295040 is an abundant number, since it is smaller than the sum of its proper divisors (27379968).

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

10295040 is an equidigital number, since it uses as much as digits as its factorization.

10295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 10295040 is about 3208.5884747035. The cubic root of 10295040 is about 217.5417808492.

The spelling of 10295040 in words is "ten million, two hundred ninety-five thousand, 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 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 383 384 420 448 480 560 640 672 766 768 840 896 960 1120 1149 1280 1344 1532 1680 1792 1915 1920 2240 2298 2681 2688 3064 3360 3830 3840 4480 4596 5362 5376 5745 6128 6720 7660 8043 8960 9192 10724 11490 12256 13405 13440 15320 16086 18384 21448 22980 24512 26810 26880 30640 32172 36768 40215 42896 45960 49024 53620 61280 64344 73536 80430 85792 91920 98048 107240 122560 128688 147072 160860 171584 183840 214480 245120 257376 294144 321720 343168 367680 428960 490240 514752 643440 686336 735360 857920 1029504 1286880 1470720 1715840 2059008 2573760 3431680 5147520 10295040