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190806784 = 28734153
BaseRepresentation
bin10110101111101…
…11101100000000
3111022000222200221
423113313230000
5342321304114
630533352424
74504555000
oct1327675400
9438028627
10190806784
1198783a63
1253a98714
13306b8a2c
141b4ac000
1511b40524
hexb5f7b00

190806784 has 144 divisors (see below), whose sum is σ = 463579200. Its totient is φ = 78274560.

The previous prime is 190806773. The next prime is 190806799. The reversal of 190806784 is 487608091.

It is a self number, because there is not a number n which added to its sum of digits gives 190806784.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3600102 + ... + 3600154.

It is an arithmetic number, because the mean of its divisors is an integer number (3219300).

Almost surely, 2190806784 is an apocalyptic number.

190806784 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 190806784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231789600).

190806784 is an abundant number, since it is smaller than the sum of its proper divisors (272772416).

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

190806784 is an frugal number, since it uses more digits than its factorization.

190806784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 190806784 is about 13813.2828827908. The cubic root of 190806784 is about 575.7022638212.

The spelling of 190806784 in words is "one hundred ninety million, eight hundred six thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 53 56 64 82 98 106 112 128 164 196 212 224 256 287 328 343 371 392 424 448 574 656 686 742 784 848 896 1148 1312 1372 1484 1568 1696 1792 2009 2173 2296 2597 2624 2744 2968 3136 3392 4018 4346 4592 5194 5248 5488 5936 6272 6784 8036 8692 9184 10388 10496 10976 11872 12544 13568 14063 15211 16072 17384 18179 18368 20776 21952 23744 28126 30422 32144 34768 36358 36736 41552 43904 47488 56252 60844 64288 69536 72716 73472 83104 87808 94976 106477 112504 121688 128576 139072 145432 166208 212954 225008 243376 257152 278144 290864 332416 425908 450016 486752 514304 556288 581728 664832 745339 851816 900032 973504 1163456 1490678 1703632 1800064 1947008 2326912 2981356 3407264 3600128 3894016 4653824 5962712 6814528 11925424 13629056 23850848 27258112 47701696 95403392 190806784