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19212072 = 23311611193
BaseRepresentation
bin100100101001…
…0011100101000
31100011002000020
41021102130220
514404241242
61523440440
7322204605
oct111223450
940132006
1019212072
11a932350
126526120
133c988b9
1427a16ac
151a476ec
hex1252728

19212072 has 64 divisors (see below), whose sum is σ = 53300160. Its totient is φ = 5721600.

The previous prime is 19212047. The next prime is 19212077. The reversal of 19212072 is 27021291.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (19212077) 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, 15508 + ... + 16700.

It is an arithmetic number, because the mean of its divisors is an integer number (832815).

Almost surely, 219212072 is an apocalyptic number.

19212072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

19212072 is the 3579-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19212072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26650080).

19212072 is an abundant number, since it is smaller than the sum of its proper divisors (34088088).

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

19212072 is a wasteful number, since it uses less digits than its factorization.

19212072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 19212072 is about 4383.1577658122. The cubic root of 19212072 is about 267.8292890706.

It can be divided in two parts, 1921 and 2072, that added together give a palindrome (3993).

The spelling of 19212072 in words is "nineteen million, two hundred twelve thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 122 132 183 244 264 366 488 671 732 1193 1342 1464 2013 2386 2684 3579 4026 4772 5368 7158 8052 9544 13123 14316 16104 26246 28632 39369 52492 72773 78738 104984 145546 157476 218319 291092 314952 436638 582184 800503 873276 1601006 1746552 2401509 3202012 4803018 6404024 9606036 19212072