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8375040 = 28325727
BaseRepresentation
bin11111111100101100000000
3120202111101200
4133330230000
54121000130
6455301200
7131121012
oct37745400
916674350
108375040
114800323
12297a800
13197305b
1411801b2
15b06760
hex7fcb00

8375040 has 108 divisors (see below), whose sum is σ = 29016624. Its totient is φ = 2230272.

The previous prime is 8375039. The next prime is 8375041. The reversal of 8375040 is 405738.

It is an interprime number because it is at equal distance from previous prime (8375039) and next prime (8375041).

It is a junction number, because it is equal to n+sod(n) for n = 8374995 and 8375013.

It is not an unprimeable number, because it can be changed into a prime (8375041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11157 + ... + 11883.

Almost surely, 28375040 is an apocalyptic number.

8375040 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 8375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14508312).

8375040 is an abundant number, since it is smaller than the sum of its proper divisors (20641584).

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

8375040 is a wasteful number, since it uses less digits than its factorization.

8375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 8375040 is about 2893.9661366367. The cubic root of 8375040 is about 203.0777283291.

The spelling of 8375040 in words is "eight million, three hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 727 768 960 1152 1280 1440 1454 1920 2181 2304 2880 2908 3635 3840 4362 5760 5816 6543 7270 8724 10905 11520 11632 13086 14540 17448 21810 23264 26172 29080 32715 34896 43620 46528 52344 58160 65430 69792 87240 93056 104688 116320 130860 139584 174480 186112 209376 232640 261720 279168 348960 418752 465280 523440 558336 697920 837504 930560 1046880 1395840 1675008 2093760 2791680 4187520 8375040