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193089820 = 225711125383
BaseRepresentation
bin10111000001001…
…01000100011100
3111110022222102211
423200211010130
5343412333240
631054330204
74533144040
oct1340450434
9443288384
10193089820
1199aa3270
12547b9964
1331007c41
141b904020
1511e41bea
hexb82511c

193089820 has 48 divisors (see below), whose sum is σ = 505548288. Its totient is φ = 60183360.

The previous prime is 193089817. The next prime is 193089847. The reversal of 193089820 is 28980391.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61152 + ... + 64231.

It is an arithmetic number, because the mean of its divisors is an integer number (10532256).

Almost surely, 2193089820 is an apocalyptic number.

193089820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193089820 is an abundant number, since it is smaller than the sum of its proper divisors (312458468).

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

193089820 is a wasteful number, since it uses less digits than its factorization.

193089820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125410 (or 125408 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 193089820 is about 13895.6763059593. The cubic root of 193089820 is about 577.9892919158.

The spelling of 193089820 in words is "one hundred ninety-three million, eighty-nine thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 125383 250766 501532 626915 877681 1253830 1379213 1755362 2507660 2758426 3510724 4388405 5516852 6896065 8776810 9654491 13792130 17553620 19308982 27584260 38617964 48272455 96544910 193089820