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189800324 = 22722371593
BaseRepresentation
bin10110101000000…
…01111110000100
3111020010212002122
423110001332010
5342042102244
630500025112
74463163500
oct1324017604
9436125078
10189800324
119815687a
1253692198
13304258ac
141b2c9300
15119e21ee
hexb501f84

189800324 has 72 divisors (see below), whose sum is σ = 409546368. Its totient is φ = 76581120.

The previous prime is 189800293. The next prime is 189800353. The reversal of 189800324 is 423008981.

It is a happy number.

189800324 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

189800324 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319772 + ... + 320364.

It is an arithmetic number, because the mean of its divisors is an integer number (5688144).

Almost surely, 2189800324 is an apocalyptic number.

189800324 is a gapful number since it is divisible by the number (14) 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 189800324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204773184).

189800324 is an abundant number, since it is smaller than the sum of its proper divisors (219746044).

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

189800324 is a wasteful number, since it uses less digits than its factorization.

189800324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 189800324 is about 13776.8038383364. The cubic root of 189800324 is about 574.6882483974.

The spelling of 189800324 in words is "one hundred eighty-nine million, eight hundred thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 46 49 71 92 98 142 161 196 284 322 497 593 644 994 1127 1186 1633 1988 2254 2372 3266 3479 4151 4508 6532 6958 8302 11431 13639 13916 16604 22862 27278 29057 42103 45724 54556 58114 80017 84206 95473 116228 160034 168412 190946 294721 320068 381892 589442 668311 968369 1178884 1336622 1936738 2063047 2673244 3873476 4126094 6778583 8252188 13557166 27114332 47450081 94900162 189800324