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19913364 = 22366829
BaseRepresentation
bin100101111110…
…1101010010100
31101110201000000
41023331222110
520044211424
61550451300
7331155312
oct113755224
941421000
1019913364
1110271229
126803b30
134182b73
1429050b2
151b353c9
hex12fda94

19913364 has 42 divisors (see below), whose sum is σ = 52256330. Its totient is φ = 6636816.

The previous prime is 19913353. The next prime is 19913393. The reversal of 19913364 is 46331991.

It can be written as a sum of positive squares in only one way, i.e., 17288964 + 2624400 = 4158^2 + 1620^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 499 + ... + 6330.

Almost surely, 219913364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19913364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26128165).

19913364 is an abundant number, since it is smaller than the sum of its proper divisors (32342966).

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

19913364 is an equidigital number, since it uses as much as digits as its factorization.

19913364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6851 (or 6834 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 19913364 is about 4462.4392432839. The cubic root of 19913364 is about 271.0492505451.

The spelling of 19913364 in words is "nineteen million, nine hundred thirteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 6829 13658 20487 27316 40974 61461 81948 122922 184383 245844 368766 553149 737532 1106298 1659447 2212596 3318894 4978341 6637788 9956682 19913364