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19252680 = 2335831933
BaseRepresentation
bin100100101110…
…0010111001000
31100020010201020
41021130113020
514412041210
61524352440
7322434156
oct111342710
940203636
1019252680
11a95a907
126545720
133cb1225
1427b23d6
151a54770
hex125c5c8

19252680 has 64 divisors (see below), whose sum is σ = 58484160. Its totient is φ = 5069568.

The previous prime is 19252669. The next prime is 19252693. The reversal of 19252680 is 8625291.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8994 + ... + 10926.

It is an arithmetic number, because the mean of its divisors is an integer number (913815).

Almost surely, 219252680 is an apocalyptic number.

19252680 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 19252680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29242080).

19252680 is an abundant number, since it is smaller than the sum of its proper divisors (39231480).

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

19252680 is a wasteful number, since it uses less digits than its factorization.

19252680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 19252680 is about 4387.7875974117. The cubic root of 19252680 is about 268.0178572790.

The spelling of 19252680 in words is "nineteen million, two hundred fifty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1933 1992 2490 3320 3866 4980 5799 7732 9665 9960 11598 15464 19330 23196 28995 38660 46392 57990 77320 115980 160439 231960 320878 481317 641756 802195 962634 1283512 1604390 1925268 2406585 3208780 3850536 4813170 6417560 9626340 19252680