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19252240 = 2457311109
BaseRepresentation
bin100100101110…
…0010000010000
31100020010002221
41021130100100
514412032430
61524350424
7322432660
oct111342020
940203087
1019252240
11a95a547
126545414
133cb0c77
1427b21a0
151a5457a
hex125c410

19252240 has 80 divisors (see below), whose sum is σ = 52853760. Its totient is φ = 6382080.

The previous prime is 19252237. The next prime is 19252241. The reversal of 19252240 is 4225291.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (19252241) 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, 16806 + ... + 17914.

It is an arithmetic number, because the mean of its divisors is an integer number (660672).

Almost surely, 219252240 is an apocalyptic number.

19252240 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 19252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26426880).

19252240 is an abundant number, since it is smaller than the sum of its proper divisors (33601520).

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

19252240 is a wasteful number, since it uses less digits than its factorization.

19252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 19252240 is about 4387.7374579617. The cubic root of 19252240 is about 268.0158155068.

The spelling of 19252240 in words is "nineteen million, two hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1109 1240 1736 2170 2218 2480 3472 4340 4436 5545 7763 8680 8872 11090 15526 17360 17744 22180 31052 34379 38815 44360 62104 68758 77630 88720 124208 137516 155260 171895 240653 275032 310520 343790 481306 550064 621040 687580 962612 1203265 1375160 1925224 2406530 2750320 3850448 4813060 9626120 19252240