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165421890 = 232531211281
BaseRepresentation
bin10011101110000…
…10001101000010
3102112021022011200
421313002031002
5314322000030
624225322030
74046030364
oct1167021502
9375238150
10165421890
1185415a07
1247496316
132836b59a
1417d80d34
15e7c8d60
hex9dc2342

165421890 has 96 divisors (see below), whose sum is σ = 447662592. Its totient is φ = 42336000.

The previous prime is 165421889. The next prime is 165421901. The reversal of 165421890 is 98124561.

165421890 is a `hidden beast` number, since 16 + 542 + 18 + 90 = 666.

165421890 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 588550 + ... + 588830.

It is an arithmetic number, because the mean of its divisors is an integer number (4663152).

Almost surely, 2165421890 is an apocalyptic number.

165421890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165421890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223831296).

165421890 is an abundant number, since it is smaller than the sum of its proper divisors (282240702).

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

165421890 is a wasteful number, since it uses less digits than its factorization.

165421890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 165421890 is about 12861.6441406221. The cubic root of 165421890 is about 548.9477291052.

The spelling of 165421890 in words is "one hundred sixty-five million, four hundred twenty-one thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 211 279 281 310 422 465 558 562 633 843 930 1055 1266 1395 1405 1686 1899 2110 2529 2790 2810 3165 3798 4215 5058 6330 6541 8430 8711 9495 12645 13082 17422 18990 19623 25290 26133 32705 39246 43555 52266 58869 59291 65410 78399 87110 98115 117738 118582 130665 156798 177873 196230 261330 294345 296455 355746 391995 533619 588690 592910 783990 889365 1067238 1778730 1838021 2668095 3676042 5336190 5514063 9190105 11028126 16542189 18380210 27570315 33084378 55140630 82710945 165421890