Search a number
-
+
19806144 = 263432399
BaseRepresentation
bin100101110001…
…1011111000000
31101021020220220
41023203133000
520032244034
61544303040
7330230601
oct113433700
941236826
1019806144
11101a8716
126771a80
134146117
1428b7da8
151b13749
hex12e37c0

19806144 has 56 divisors (see below), whose sum is σ = 53644800. Its totient is φ = 6445824.

The previous prime is 19806131. The next prime is 19806181. The reversal of 19806144 is 44160891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7057 + ... + 9455.

Almost surely, 219806144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19806144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26822400).

19806144 is an abundant number, since it is smaller than the sum of its proper divisors (33838656).

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

19806144 is a wasteful number, since it uses less digits than its factorization.

19806144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 19806144 is about 4450.4094193681. The cubic root of 19806144 is about 270.5619025044.

The spelling of 19806144 in words is "nineteen million, eight hundred six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2399 2752 4128 4798 7197 8256 9596 14394 19192 28788 38384 57576 76768 103157 115152 153536 206314 230304 309471 412628 460608 618942 825256 1237884 1650512 2475768 3301024 4951536 6602048 9903072 19806144