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19024020 = 22325176217
BaseRepresentation
bin100100010010…
…0100010010100
31022210112001100
41020210202110
514332232040
61515430100
7320462421
oct110444224
938715040
1019024020
11a814034
126455330
133c31122
142752d48
151a0bb30
hex1224894

19024020 has 72 divisors (see below), whose sum is σ = 61110504. Its totient is φ = 4773888.

The previous prime is 19024001. The next prime is 19024051. The reversal of 19024020 is 2042091.

It can be written as a sum of positive squares in 4 ways, for example, as 5934096 + 13089924 = 2436^2 + 3618^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 19023984 and 19024002.

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, 49 + ... + 6168.

It is an arithmetic number, because the mean of its divisors is an integer number (848757).

Almost surely, 219024020 is an apocalyptic number.

19024020 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 19024020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30555252).

19024020 is an abundant number, since it is smaller than the sum of its proper divisors (42086484).

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

19024020 is a wasteful number, since it uses less digits than its factorization.

19024020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6249 (or 6244 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 19024020 is about 4361.6533562400. The cubic root of 19024020 is about 266.9525649015.

The spelling of 19024020 in words is "nineteen million, twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 6217 12434 18651 24868 31085 37302 55953 62170 74604 93255 105689 111906 124340 186510 211378 223812 279765 317067 373020 422756 528445 559530 634134 951201 1056890 1119060 1268268 1585335 1902402 2113780 3170670 3804804 4756005 6341340 9512010 19024020