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19764980 = 2253171449
BaseRepresentation
bin100101101100…
…1011011110100
31101012011110022
41023121123310
520024434410
61543344312
7326666564
oct113313364
941164408
1019764980
111017a7a4
126752098
134130471
1428a6da4
151b06455
hex12d96f4

19764980 has 48 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 7526400.

The previous prime is 19764973. The next prime is 19764989. The reversal of 19764980 is 8946791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19764989) 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, 43796 + ... + 44244.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 219764980 is an apocalyptic number.

19764980 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 19764980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

19764980 is an abundant number, since it is smaller than the sum of its proper divisors (23780620).

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

19764980 is a wasteful number, since it uses less digits than its factorization.

19764980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 19764980 is about 4445.7822708720. The cubic root of 19764980 is about 270.3743321748.

The spelling of 19764980 in words is "nineteen million, seven hundred sixty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 31 62 71 124 142 155 284 310 355 449 620 710 898 1420 1796 2201 2245 4402 4490 8804 8980 11005 13919 22010 27838 31879 44020 55676 63758 69595 127516 139190 159395 278380 318790 637580 988249 1976498 3952996 4941245 9882490 19764980