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10168000 = 26533141
BaseRepresentation
bin100110110010…
…011011000000
3201010120212121
4212302123000
510100334000
61001534024
7152266213
oct46623300
921116777
1010168000
115815407
1234a4314
13215018b
1414c977a
15d5cb1a
hex9b26c0

10168000 has 112 divisors (see below), whose sum is σ = 26627328. Its totient is φ = 3840000.

The previous prime is 10167977. The next prime is 10168013. The reversal of 10168000 is 86101.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 247980 + ... + 248020.

It is an arithmetic number, because the mean of its divisors is an integer number (237744).

Almost surely, 210168000 is an apocalyptic number.

10168000 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 10168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13313664).

10168000 is an abundant number, since it is smaller than the sum of its proper divisors (16459328).

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

10168000 is an equidigital number, since it uses as much as digits as its factorization.

10168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 10168000 is about 3188.7301547795. The cubic root of 10168000 is about 216.6432584836.

The spelling of 10168000 in words is "ten million, one hundred sixty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 41 50 62 64 80 82 100 124 125 155 160 164 200 205 248 250 310 320 328 400 410 496 500 620 656 775 800 820 992 1000 1025 1240 1271 1312 1550 1600 1640 1984 2000 2050 2480 2542 2624 3100 3280 3875 4000 4100 4960 5084 5125 6200 6355 6560 7750 8000 8200 9920 10168 10250 12400 12710 13120 15500 16400 20336 20500 24800 25420 31000 31775 32800 40672 41000 49600 50840 62000 63550 65600 81344 82000 101680 124000 127100 158875 164000 203360 248000 254200 317750 328000 406720 508400 635500 1016800 1271000 2033600 2542000 5084000 10168000