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19963136 = 28292689
BaseRepresentation
bin100110000100…
…1110100000000
31101120020021102
41030021310000
520102310021
61551513532
7331453364
oct114116400
941506242
1019963136
11102a5666
1268288a8
13419c70b
1429192a4
151b4500b
hex1309d00

19963136 has 36 divisors (see below), whose sum is σ = 41237700. Its totient is φ = 9633792.

The previous prime is 19963133. The next prime is 19963147. The reversal of 19963136 is 63136991.

It can be written as a sum of positive squares in 2 ways, for example, as 4596736 + 15366400 = 2144^2 + 3920^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 19963136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19963133) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6080 + ... + 8768.

Almost surely, 219963136 is an apocalyptic number.

19963136 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 19963136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20618850).

19963136 is an abundant number, since it is smaller than the sum of its proper divisors (21274564).

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

19963136 is an equidigital number, since it uses as much as digits as its factorization.

19963136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2720 counting only the distinct ones).

The product of its digits is 26244, while the sum is 38.

The square root of 19963136 is about 4468.0125335545. The cubic root of 19963136 is about 271.2748852702.

The spelling of 19963136 in words is "nineteen million, nine hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 2689 3712 5378 7424 10756 21512 43024 77981 86048 155962 172096 311924 344192 623848 688384 1247696 2495392 4990784 9981568 19963136