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190356820 = 225171979373
BaseRepresentation
bin10110101100010…
…01110101010100
3111021012010110121
423112021311110
5342212404240
630520001324
74501002103
oct1326116524
9437163417
10190356820
11984a6995
1253900244
133058bc94
141b3d203a
1511aa204a
hexb589d54

190356820 has 96 divisors (see below), whose sum is σ = 452390400. Its totient is φ = 66852864.

The previous prime is 190356811. The next prime is 190356827. The reversal of 190356820 is 28653091.

190356820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190356827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510154 + ... + 510526.

It is an arithmetic number, because the mean of its divisors is an integer number (4712400).

Almost surely, 2190356820 is an apocalyptic number.

190356820 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 190356820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226195200).

190356820 is an abundant number, since it is smaller than the sum of its proper divisors (262033580).

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

190356820 is a wasteful number, since it uses less digits than its factorization.

190356820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 190356820 is about 13796.9859027253. The cubic root of 190356820 is about 575.2493638009.

The spelling of 190356820 in words is "one hundred ninety million, three hundred fifty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 79 85 95 158 170 190 316 323 340 373 380 395 646 746 790 1292 1343 1492 1501 1580 1615 1865 2686 3002 3230 3730 5372 6004 6341 6460 6715 7087 7460 7505 12682 13430 14174 15010 25364 25517 26860 28348 29467 30020 31705 35435 51034 58934 63410 70870 102068 117868 120479 126820 127585 141740 147335 240958 255170 294670 481916 500939 510340 559873 589340 602395 1001878 1119746 1204790 2003756 2239492 2409580 2504695 2799365 5009390 5598730 9517841 10018780 11197460 19035682 38071364 47589205 95178410 190356820