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19816940 = 2251113341
BaseRepresentation
bin100101110011…
…0000111101100
31101021210201202
41023212013230
520033120230
61544425032
7330304223
oct113460754
941253652
1019816940
1110205840
126778178
13414b000
1428bbcba
151b16a45
hex12e61ec

19816940 has 96 divisors (see below), whose sum is σ = 50379840. Its totient is φ = 6489600.

The previous prime is 19816933. The next prime is 19816987. The reversal of 19816940 is 4961891.

It is a happy number.

It is a super-2 number, since 2×198169402 = 785422221927200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19816894 and 19816903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483320 + ... + 483360.

It is an arithmetic number, because the mean of its divisors is an integer number (524790).

Almost surely, 219816940 is an apocalyptic number.

19816940 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 19816940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25189920).

19816940 is an abundant number, since it is smaller than the sum of its proper divisors (30562900).

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

19816940 is a wasteful number, since it uses less digits than its factorization.

19816940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 19816940 is about 4451.6221762409. The cubic root of 19816940 is about 270.6110531742.

The spelling of 19816940 in words is "nineteen million, eight hundred sixteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 41 44 52 55 65 82 110 130 143 164 169 205 220 260 286 338 410 451 533 572 676 715 820 845 902 1066 1430 1690 1804 1859 2132 2197 2255 2665 2860 3380 3718 4394 4510 5330 5863 6929 7436 8788 9020 9295 10660 10985 11726 13858 18590 21970 23452 24167 27716 29315 34645 37180 43940 48334 58630 69290 76219 90077 96668 117260 120835 138580 152438 180154 241670 304876 360308 381095 450385 483340 762190 900770 990847 1524380 1801540 1981694 3963388 4954235 9908470 19816940