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19813350 = 2352235743
BaseRepresentation
bin100101110010…
…1001111100110
31101021121210210
41023211033212
520033011400
61544400250
7330260604
oct113451746
941247723
1019813350
1110203077
126776086
13414949b
1428ba874
151b15950
hex12e53e6

19813350 has 48 divisors (see below), whose sum is σ = 51282432. Its totient is φ = 5052960.

The previous prime is 19813337. The next prime is 19813379. The reversal of 19813350 is 5331891.

It is a happy number.

It is a super-3 number, since 3×198133503 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 579 + ... + 6321.

It is an arithmetic number, because the mean of its divisors is an integer number (1068384).

Almost surely, 219813350 is an apocalyptic number.

19813350 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 19813350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25641216).

19813350 is an abundant number, since it is smaller than the sum of its proper divisors (31469082).

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

19813350 is a wasteful number, since it uses less digits than its factorization.

19813350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5781 (or 5776 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 19813350 is about 4451.2189341797. The cubic root of 19813350 is about 270.5947110556.

The spelling of 19813350 in words is "nineteen million, eight hundred thirteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 345 575 690 1150 1725 3450 5743 11486 17229 28715 34458 57430 86145 132089 143575 172290 264178 287150 396267 430725 660445 792534 861450 1320890 1981335 3302225 3962670 6604450 9906675 19813350