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20190688 = 257233919
BaseRepresentation
bin100110100000…
…1010111100000
31101222210102021
41031001113200
520132100223
62000431224
7333421660
oct115012740
941883367
1020190688
1110440621
126918514
13424c16b
1429781a0
151b8c65d
hex13415e0

20190688 has 48 divisors (see below), whose sum is σ = 47416320. Its totient is φ = 8274816.

The previous prime is 20190631. The next prime is 20190719. The reversal of 20190688 is 88609102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3193 + ... + 7111.

It is an arithmetic number, because the mean of its divisors is an integer number (987840).

Almost surely, 220190688 is an apocalyptic number.

20190688 is a gapful number since it is divisible by the number (28) 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 20190688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23708160).

20190688 is an abundant number, since it is smaller than the sum of its proper divisors (27225632).

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

20190688 is a wasteful number, since it uses less digits than its factorization.

20190688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3959 (or 3951 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 20190688 is about 4493.4049450278. The cubic root of 20190688 is about 272.3017124951.

The spelling of 20190688 in words is "twenty million, one hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 3919 5152 7838 15676 27433 31352 54866 62704 90137 109732 125408 180274 219464 360548 438928 630959 721096 877856 1261918 1442192 2523836 2884384 5047672 10095344 20190688