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19240000 = 26541337
BaseRepresentation
bin100100101100…
…1010001000000
31100012111022121
41021121101000
514411140000
61524214024
7322352203
oct111312100
940174277
1019240000
11a95132a
12653a314
133ca8520
1427ab93a
151a50b1a
hex1259440

19240000 has 140 divisors (see below), whose sum is σ = 52767484. Its totient is φ = 6912000.

The previous prime is 19239929. The next prime is 19240019. The reversal of 19240000 is 4291.

It can be written as a sum of positive squares in 10 ways, for example, as 14258176 + 4981824 = 3776^2 + 2232^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 519982 + ... + 520018.

Almost surely, 219240000 is an apocalyptic number.

19240000 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 19240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26383742).

19240000 is an abundant number, since it is smaller than the sum of its proper divisors (33527484).

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

19240000 is an equidigital number, since it uses as much as digits as its factorization.

19240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 19240000 is about 4386.3424398923. The cubic root of 19240000 is about 267.9590046449.

Adding to 19240000 its reverse (4291), we get a palindrome (19244291).

The spelling of 19240000 in words is "nineteen million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 37 40 50 52 64 65 74 80 100 104 125 130 148 160 185 200 208 250 260 296 320 325 370 400 416 481 500 520 592 625 650 740 800 832 925 962 1000 1040 1184 1250 1300 1480 1600 1625 1850 1924 2000 2080 2368 2405 2500 2600 2960 3250 3700 3848 4000 4160 4625 4810 5000 5200 5920 6500 7400 7696 8000 8125 9250 9620 10000 10400 11840 12025 13000 14800 15392 16250 18500 19240 20000 20800 23125 24050 26000 29600 30784 32500 37000 38480 40000 46250 48100 52000 59200 60125 65000 74000 76960 92500 96200 104000 120250 130000 148000 153920 185000 192400 240500 260000 296000 300625 370000 384800 481000 520000 601250 740000 769600 962000 1202500 1480000 1924000 2405000 3848000 4810000 9620000 19240000