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19861296 = 2437134547
BaseRepresentation
bin100101111000…
…0111100110000
31101101001120120
41023300330300
520041030141
61545410240
7330550440
oct113607460
941331516
1019861296
11102360a4
126799980
134165260
1428d0120
151b24c66
hex12f0f30

19861296 has 80 divisors (see below), whose sum is σ = 63162624. Its totient is φ = 5236992.

The previous prime is 19861291. The next prime is 19861333. The reversal of 19861296 is 69216891.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (19861291) 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, 2095 + ... + 6641.

Almost surely, 219861296 is an apocalyptic number.

19861296 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 19861296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31581312).

19861296 is an abundant number, since it is smaller than the sum of its proper divisors (43301328).

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

19861296 is a wasteful number, since it uses less digits than its factorization.

19861296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4578 (or 4572 counting only the distinct ones).

The product of its digits is 46656, while the sum is 42.

The square root of 19861296 is about 4456.6013956826. The cubic root of 19861296 is about 270.8128044611.

The spelling of 19861296 in words is "nineteen million, eight hundred sixty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 4547 9094 13641 18188 27282 31829 36376 54564 59111 63658 72752 95487 109128 118222 127316 177333 190974 218256 236444 254632 354666 381948 413777 472888 509264 709332 763896 827554 945776 1241331 1418664 1527792 1655108 2482662 2837328 3310216 4965324 6620432 9930648 19861296