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191888540 = 225231572657
BaseRepresentation
bin10110110111111…
…11110010011100
3111101001221120222
423123333302130
5343110413130
631012500512
74520011544
oct1333776234
9441057528
10191888540
1199352778
125431a738
13309a721c
141b6b0324
1511ca5ce5
hexb6ffc9c

191888540 has 48 divisors (see below), whose sum is σ = 423323712. Its totient is φ = 72923136.

The previous prime is 191888533. The next prime is 191888597. The reversal of 191888540 is 45888191.

It is a junction number, because it is equal to n+sod(n) for n = 191888491 and 191888500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70892 + ... + 73548.

It is an arithmetic number, because the mean of its divisors is an integer number (8819244).

Almost surely, 2191888540 is an apocalyptic number.

191888540 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 191888540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211661856).

191888540 is an abundant number, since it is smaller than the sum of its proper divisors (231435172).

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

191888540 is a wasteful number, since it uses less digits than its factorization.

191888540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 44.

The square root of 191888540 is about 13852.3839103600. The cubic root of 191888540 is about 576.7881723910.

The spelling of 191888540 in words is "one hundred ninety-one million, eight hundred eighty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 157 230 314 460 628 785 1570 2657 3140 3611 5314 7222 10628 13285 14444 18055 26570 36110 53140 61111 72220 122222 244444 305555 417149 611110 834298 1222220 1668596 2085745 4171490 8342980 9594427 19188854 38377708 47972135 95944270 191888540