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19681992 = 23321124851
BaseRepresentation
bin100101100010…
…1001011001000
31101000221121200
41023011023020
520014310432
61541504200
7326202621
oct113051310
941027550
1019681992
1110123410
126712060
134101765
142884a48
151adba7c
hex12c52c8

19681992 has 48 divisors (see below), whose sum is σ = 58153680. Its totient is φ = 5964000.

The previous prime is 19681969. The next prime is 19681999. The reversal of 19681992 is 29918691.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (19681999) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11634 + ... + 13217.

It is an arithmetic number, because the mean of its divisors is an integer number (1211535).

Almost surely, 219681992 is an apocalyptic number.

19681992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19681992 is an abundant number, since it is smaller than the sum of its proper divisors (38471688).

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

19681992 is a wasteful number, since it uses less digits than its factorization.

19681992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24874 (or 24867 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The square root of 19681992 is about 4436.4391126217. The cubic root of 19681992 is about 269.9953908678.

The spelling of 19681992 in words is "nineteen million, six hundred eighty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 24851 49702 74553 99404 149106 198808 223659 273361 298212 447318 546722 596424 820083 894636 1093444 1640166 1789272 2186888 2460249 3280332 4920498 6560664 9840996 19681992