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19131340 = 2253159523
BaseRepresentation
bin100100011111…
…0101111001100
31022222222021011
41020332233030
514344200330
61522015004
7321420334
oct110765714
938888234
1019131340
11a887728
1264a7464
133c6ac27
1427800c4
151a2d82a
hex123ebcc

19131340 has 48 divisors (see below), whose sum is σ = 42255360. Its totient is φ = 7266240.

The previous prime is 19131317. The next prime is 19131349. The reversal of 19131340 is 4313191.

19131340 = T14 + T15 + ... + T485.

19131340 = 932 + 942 + ... + 3872.

It is not an unprimeable number, because it can be changed into a prime (19131349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36319 + ... + 36841.

It is an arithmetic number, because the mean of its divisors is an integer number (880320).

Almost surely, 219131340 is an apocalyptic number.

19131340 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 19131340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21127680).

19131340 is an abundant number, since it is smaller than the sum of its proper divisors (23124020).

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

19131340 is a wasteful number, since it uses less digits than its factorization.

19131340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 19131340 is about 4373.9387284232. The cubic root of 19131340 is about 267.4536094474.

The spelling of 19131340 in words is "nineteen million, one hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 59 62 118 124 155 236 295 310 523 590 620 1046 1180 1829 2092 2615 3658 5230 7316 9145 10460 16213 18290 30857 32426 36580 61714 64852 81065 123428 154285 162130 308570 324260 617140 956567 1913134 3826268 4782835 9565670 19131340