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19468820 = 2257592357
BaseRepresentation
bin100101001000…
…1001000010100
31100122010012102
41022101020110
514441000240
61533141232
7324324260
oct112211024
940563172
1019468820
11aa98238
12662a818
134058717
14282b0a0
151a98815
hex1291214

19468820 has 48 divisors (see below), whose sum is σ = 47537280. Its totient is φ = 6559104.

The previous prime is 19468819. The next prime is 19468843. The reversal of 19468820 is 2886491.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7082 + ... + 9438.

It is an arithmetic number, because the mean of its divisors is an integer number (990360).

Almost surely, 219468820 is an apocalyptic number.

19468820 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 19468820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23768640).

19468820 is an abundant number, since it is smaller than the sum of its proper divisors (28068460).

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

19468820 is a wasteful number, since it uses less digits than its factorization.

19468820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 19468820 is about 4412.3485809714. The cubic root of 19468820 is about 269.0170937577.

The spelling of 19468820 in words is "nineteen million, four hundred sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 2065 2357 4130 4714 8260 9428 11785 16499 23570 32998 47140 65996 82495 139063 164990 278126 329980 556252 695315 973441 1390630 1946882 2781260 3893764 4867205 9734410 19468820