Search a number
-
+
19892340 = 22325138501
BaseRepresentation
bin100101111100…
…0100001110100
31101102122011100
41023320201310
520043023330
61550210100
7331040106
oct113704164
941378140
1019892340
1110257456
1267b3930
134176420
1428db576
151b2e060
hex12f8874

19892340 has 72 divisors (see below), whose sum is σ = 64989288. Its totient is φ = 4896000.

The previous prime is 19892321. The next prime is 19892351. The reversal of 19892340 is 4329891.

It can be written as a sum of positive squares in 4 ways, for example, as 285156 + 19607184 = 534^2 + 4428^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 19892295 and 19892304.

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, 1911 + ... + 6590.

It is an arithmetic number, because the mean of its divisors is an integer number (902629).

Almost surely, 219892340 is an apocalyptic number.

19892340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19892340 is an abundant number, since it is smaller than the sum of its proper divisors (45096948).

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

19892340 is a wasteful number, since it uses less digits than its factorization.

19892340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8529 (or 8524 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 19892340 is about 4460.0829588697. The cubic root of 19892340 is about 270.9538280929.

The spelling of 19892340 in words is "nineteen million, eight hundred ninety-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 8501 17002 25503 34004 42505 51006 76509 85010 102012 110513 127515 153018 170020 221026 255030 306036 331539 382545 442052 510060 552565 663078 765090 994617 1105130 1326156 1530180 1657695 1989234 2210260 3315390 3978468 4973085 6630780 9946170 19892340