Search a number
-
+
196160000 = 2954613
BaseRepresentation
bin10111011000100…
…10101000000000
3111200002221221012
423230102220000
5400204110000
631244220052
74601222021
oct1354225000
9450087835
10196160000
11a07aaa03
125583a628
133184150a
141c0a2c48
151234b735
hexbb12a00

196160000 has 100 divisors (see below), whose sum is σ = 490563282. Its totient is φ = 78336000.

The previous prime is 196159981. The next prime is 196160053. The reversal of 196160000 is 61691.

It can be written as a sum of positive squares in 5 ways, for example, as 12503296 + 183656704 = 3536^2 + 13552^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319694 + ... + 320306.

Almost surely, 2196160000 is an apocalyptic number.

196160000 is a gapful number since it is divisible by the number (10) 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 196160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245281641).

196160000 is an abundant number, since it is smaller than the sum of its proper divisors (294403282).

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

196160000 is an frugal number, since it uses more digits than its factorization.

196160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 196160000 is about 14005.7131200093. The cubic root of 196160000 is about 581.0365925626.

It can be divided in two parts, 196 and 160000, that multiplied together give a square (31360000 = 56002).

The spelling of 196160000 in words is "one hundred ninety-six million, one hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 613 625 640 800 1000 1226 1250 1280 1600 2000 2452 2500 2560 3065 3200 4000 4904 5000 6130 6400 8000 9808 10000 12260 12800 15325 16000 19616 20000 24520 30650 32000 39232 40000 49040 61300 64000 76625 78464 80000 98080 122600 153250 156928 160000 196160 245200 306500 313856 320000 383125 392320 490400 613000 766250 784640 980800 1226000 1532500 1569280 1961600 2452000 3065000 3923200 4904000 6130000 7846400 9808000 12260000 19616000 24520000 39232000 49040000 98080000 196160000