Search a number
-
+
196524960 = 25353831069
BaseRepresentation
bin10111011011010…
…11101110100000
3111200210111120020
423231223232200
5400302244320
631300113440
74604302032
oct1355535640
9450714506
10196524960
11a0a2a125
1255995880
133193b678
141c159c52
15123be940
hexbb6bba0

196524960 has 96 divisors (see below), whose sum is σ = 621250560. Its totient is φ = 52220928.

The previous prime is 196524953. The next prime is 196524971. The reversal of 196524960 is 69425691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183306 + ... + 184374.

It is an arithmetic number, because the mean of its divisors is an integer number (6471360).

Almost surely, 2196524960 is an apocalyptic number.

196524960 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 196524960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310625280).

196524960 is an abundant number, since it is smaller than the sum of its proper divisors (424725600).

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

196524960 is a wasteful number, since it uses less digits than its factorization.

196524960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 196524960 is about 14018.7360343221. The cubic root of 196524960 is about 581.3967131096.

The spelling of 196524960 in words is "one hundred ninety-six million, five hundred twenty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 383 480 766 1069 1149 1532 1915 2138 2298 3064 3207 3830 4276 4596 5345 5745 6128 6414 7660 8552 9192 10690 11490 12256 12828 15320 16035 17104 18384 21380 22980 25656 30640 32070 34208 36768 42760 45960 51312 61280 64140 85520 91920 102624 128280 171040 183840 256560 409427 513120 818854 1228281 1637708 2047135 2456562 3275416 4094270 4913124 6141405 6550832 8188540 9826248 12282810 13101664 16377080 19652496 24565620 32754160 39304992 49131240 65508320 98262480 196524960