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196880 = 24523107
BaseRepresentation
bin110000000100010000
3101000001212
4300010100
522300010
64115252
71446665
oct600420
9330055
10196880
11124a12
1295b28
136b7c8
1451a6c
153d505
hex30110

196880 has 40 divisors (see below), whose sum is σ = 482112. Its totient is φ = 74624.

The previous prime is 196879. The next prime is 196901. The reversal of 196880 is 88691.

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 9.

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, 1787 + ... + 1893.

2196880 is an apocalyptic number.

196880 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 196880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241056).

196880 is an abundant number, since it is smaller than the sum of its proper divisors (285232).

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

196880 is a wasteful number, since it uses less digits than its factorization.

196880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 196880 is about 443.7116180584. The cubic root of 196880 is about 58.1746617618.

It can be divided in two parts, 1968 and 80, that added together give a 11-th power (2048 = 211).

The spelling of 196880 in words is "one hundred ninety-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 107 115 184 214 230 368 428 460 535 856 920 1070 1712 1840 2140 2461 4280 4922 8560 9844 12305 19688 24610 39376 49220 98440 196880