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190688480 = 2558631381
BaseRepresentation
bin10110101110110…
…10110011100000
3111021210222102022
423113122303200
5342304012410
630531041012
74503553043
oct1327326340
9437728368
10190688480
1198703094
1253a40168
1330676c28
141b47ac5a
1511b1a455
hexb5dace0

190688480 has 48 divisors (see below), whose sum is σ = 451350144. Its totient is φ = 76131840.

The previous prime is 190688461. The next prime is 190688489. The reversal of 190688480 is 84886091.

It is a happy number.

It is a Cunningham number, because it is equal to 138092-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190688489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137390 + ... + 138770.

It is an arithmetic number, because the mean of its divisors is an integer number (9403128).

Almost surely, 2190688480 is an apocalyptic number.

190688480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

190688480 is an abundant number, since it is smaller than the sum of its proper divisors (260661664).

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

190688480 is a wasteful number, since it uses less digits than its factorization.

190688480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The square root of 190688480 is about 13808.9999637917. Note that the first 4 decimals coincide. The cubic root of 190688480 is about 575.5832569388.

The spelling of 190688480 in words is "one hundred ninety million, six hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 863 1381 1726 2762 3452 4315 5524 6904 6905 8630 11048 13808 13810 17260 22096 27616 27620 34520 44192 55240 69040 110480 138080 220960 1191803 2383606 4767212 5959015 9534424 11918030 19068848 23836060 38137696 47672120 95344240 190688480