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19912480 = 255723773
BaseRepresentation
bin100101111110…
…1011100100000
31101110122210021
41023331130200
520044144410
61550443224
7331152610
oct113753440
941418707
1019912480
11102705a5
126803514
134182643
142904a40
151b34eda
hex12fd720

19912480 has 96 divisors (see below), whose sum is σ = 56173824. Its totient is φ = 6521856.

The previous prime is 19912469. The next prime is 19912481. The reversal of 19912480 is 8421991.

It is not an unprimeable number, because it can be changed into a prime (19912481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25374 + ... + 26146.

It is an arithmetic number, because the mean of its divisors is an integer number (585144).

Almost surely, 219912480 is an apocalyptic number.

19912480 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 19912480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28086912).

19912480 is an abundant number, since it is smaller than the sum of its proper divisors (36261344).

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

19912480 is a wasteful number, since it uses less digits than its factorization.

19912480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 19912480 is about 4462.3401932170. The cubic root of 19912480 is about 271.0452396527.

The spelling of 19912480 in words is "nineteen million, nine hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 560 644 736 773 805 920 1120 1288 1546 1610 1840 2576 3092 3220 3680 3865 5152 5411 6184 6440 7730 10822 12368 12880 15460 17779 21644 24736 25760 27055 30920 35558 43288 54110 61840 71116 86576 88895 108220 123680 124453 142232 173152 177790 216440 248906 284464 355580 432880 497812 568928 622265 711160 865760 995624 1244530 1422320 1991248 2489060 2844640 3982496 4978120 9956240 19912480