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19812940 = 22571371033
BaseRepresentation
bin100101110010…
…1001001001100
31101021121020121
41023211021030
520033003230
61544354324
7330256450
oct113451114
941247217
1019812940
1110202834
1267759a4
134149244
1428ba660
151b1577a
hex12e524c

19812940 has 48 divisors (see below), whose sum is σ = 47944512. Its totient is φ = 6736896.

The previous prime is 19812907. The next prime is 19812943. The reversal of 19812940 is 4921891.

It is a super-3 number, since 3×198129403 (a number of 23 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 19812896 and 19812905.

It is not an unprimeable number, because it can be changed into a prime (19812943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18664 + ... + 19696.

It is an arithmetic number, because the mean of its divisors is an integer number (998844).

Almost surely, 219812940 is an apocalyptic number.

19812940 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 19812940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23972256).

19812940 is an abundant number, since it is smaller than the sum of its proper divisors (28131572).

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

19812940 is a wasteful number, since it uses less digits than its factorization.

19812940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 19812940 is about 4451.1728791410. The cubic root of 19812940 is about 270.5928445599.

The spelling of 19812940 in words is "nineteen million, eight hundred twelve thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 137 140 274 548 685 959 1033 1370 1918 2066 2740 3836 4132 4795 5165 7231 9590 10330 14462 19180 20660 28924 36155 72310 141521 144620 283042 566084 707605 990647 1415210 1981294 2830420 3962588 4953235 9906470 19812940