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19971056 = 247172617
BaseRepresentation
bin100110000101…
…1101111110000
31101120122010202
41030023233300
520103033211
61552014332
7331515440
oct114135760
941518122
1019971056
1110300606
1268313a8
1341a31c1
14291c120
151b4753b
hex130bbf0

19971056 has 60 divisors (see below), whose sum is σ = 47052048. Its totient is φ = 8042496.

The previous prime is 19971047. The next prime is 19971101. The reversal of 19971056 is 65017991.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 32060 + ... + 32676.

Almost surely, 219971056 is an apocalyptic number.

19971056 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 19971056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23526024).

19971056 is an abundant number, since it is smaller than the sum of its proper divisors (27080992).

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

19971056 is a wasteful number, since it uses less digits than its factorization.

19971056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 38.

The square root of 19971056 is about 4468.8987457762. The cubic root of 19971056 is about 271.3107549357.

The spelling of 19971056 in words is "nineteen million, nine hundred seventy-one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 289 476 578 617 952 1156 1234 1904 2023 2312 2468 4046 4319 4624 4936 8092 8638 9872 10489 16184 17276 20978 32368 34552 41956 69104 73423 83912 146846 167824 178313 293692 356626 587384 713252 1174768 1248191 1426504 2496382 2853008 4992764 9985528 19971056