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19801360 = 245416037
BaseRepresentation
bin100101110001…
…0010100010000
31101021000100201
41023202110100
520032120420
61544224544
7330210625
oct113422420
941230321
1019801360
11101a5067
12676b154
134143ba7
1428b634c
151b1210a
hex12e2510

19801360 has 40 divisors (see below), whose sum is σ = 47168856. Its totient is φ = 7726080.

The previous prime is 19801351. The next prime is 19801373. The reversal of 19801360 is 6310891.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 300304 + 19501056 = 548^2 + 4416^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262 + ... + 6298.

Almost surely, 219801360 is an apocalyptic number.

19801360 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 19801360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23584428).

19801360 is an abundant number, since it is smaller than the sum of its proper divisors (27367496).

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

19801360 is a wasteful number, since it uses less digits than its factorization.

19801360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6091 (or 6085 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 19801360 is about 4449.8719082688. The cubic root of 19801360 is about 270.5401168004.

The spelling of 19801360 in words is "nineteen million, eight hundred one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 6037 12074 24148 30185 48296 60370 96592 120740 241480 247517 482960 495034 990068 1237585 1980136 2475170 3960272 4950340 9900680 19801360