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190168000 = 2653112161
BaseRepresentation
bin10110101010110…
…11101111000000
3111020211112110021
423111123233000
5342140334000
630511543224
74466254441
oct1325335700
9436745407
10190168000
1198388040
125382ab14
1330524059
141b3832c8
1511a6611a
hexb55bbc0

190168000 has 112 divisors (see below), whose sum is σ = 514002528. Its totient is φ = 69120000.

The previous prime is 190167961. The next prime is 190168003. The reversal of 190168000 is 861091.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190168003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86920 + ... + 89080.

Almost surely, 2190168000 is an apocalyptic number.

190168000 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 190168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257001264).

190168000 is an abundant number, since it is smaller than the sum of its proper divisors (323834528).

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

190168000 is a wasteful number, since it uses less digits than its factorization.

190168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 190168000 is about 13790.1414060915. The cubic root of 190168000 is about 575.0590991555.

The spelling of 190168000 in words is "one hundred ninety million, one hundred sixty-eight thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1375 1600 1760 2000 2161 2200 2750 3520 4000 4322 4400 5500 8000 8644 8800 10805 11000 17288 17600 21610 22000 23771 34576 43220 44000 47542 54025 69152 86440 88000 95084 108050 118855 138304 172880 190168 216100 237710 270125 345760 380336 432200 475420 540250 594275 691520 760672 864400 950840 1080500 1188550 1521344 1728800 1901680 2161000 2377100 2971375 3457600 3803360 4322000 4754200 5942750 7606720 8644000 9508400 11885500 17288000 19016800 23771000 38033600 47542000 95084000 190168000