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19290336 = 2531322941
BaseRepresentation
bin100100110010…
…1100011100000
31100022001100220
41021211203200
514414242321
61525243040
7322652022
oct111454340
940261326
1019290336
11a98612a
126563480
133cc5400
1427c2012
151a609c6
hex12658e0

19290336 has 144 divisors (see below), whose sum is σ = 58106160. Its totient is φ = 5591040.

The previous prime is 19290329. The next prime is 19290347. The reversal of 19290336 is 63309291.

It is a junction number, because it is equal to n+sod(n) for n = 19290297 and 19290306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470476 + ... + 470516.

It is an arithmetic number, because the mean of its divisors is an integer number (403515).

Almost surely, 219290336 is an apocalyptic number.

19290336 is a gapful number since it is divisible by the number (16) 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 19290336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29053080).

19290336 is an abundant number, since it is smaller than the sum of its proper divisors (38815824).

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

19290336 is a wasteful number, since it uses less digits than its factorization.

19290336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 19290336 is about 4392.0765020660. The cubic root of 19290336 is about 268.1924807196.

The spelling of 19290336 in words is "nineteen million, two hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 41 48 52 58 78 82 87 96 104 116 123 156 164 169 174 208 232 246 312 328 338 348 377 416 464 492 507 533 624 656 676 696 754 928 984 1014 1066 1131 1189 1248 1312 1352 1392 1508 1599 1968 2028 2132 2262 2378 2704 2784 3016 3198 3567 3936 4056 4264 4524 4756 4901 5408 6032 6396 6929 7134 8112 8528 9048 9512 9802 12064 12792 13858 14268 14703 15457 16224 17056 18096 19024 19604 20787 25584 27716 28536 29406 30914 36192 38048 39208 41574 46371 51168 55432 57072 58812 61828 78416 83148 92742 110864 114144 117624 123656 156832 166296 185484 200941 221728 235248 247312 332592 370968 401882 470496 494624 602823 665184 741936 803764 1205646 1483872 1607528 2411292 3215056 4822584 6430112 9645168 19290336