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191413376 = 2771119421
BaseRepresentation
bin10110110100010…
…11110010000000
3111100011210210022
423122023302000
5343000212001
630554353012
74512662330
oct1332136200
9440153708
10191413376
1199058780
125412b768
133086bb6b
141b5c90c0
1511c1011b
hexb68bc80

191413376 has 64 divisors (see below), whose sum is σ = 475450560. Its totient is φ = 74572800.

The previous prime is 191413367. The next prime is 191413381. The reversal of 191413376 is 673314191.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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, 146 + ... + 19566.

It is an arithmetic number, because the mean of its divisors is an integer number (7428915).

Almost surely, 2191413376 is an apocalyptic number.

191413376 is a gapful number since it is divisible by the number (16) 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 191413376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237725280).

191413376 is an abundant number, since it is smaller than the sum of its proper divisors (284037184).

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

191413376 is a wasteful number, since it uses less digits than its factorization.

191413376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19453 (or 19441 counting only the distinct ones).

The product of its digits is 13608, while the sum is 35.

The square root of 191413376 is about 13835.2222967324. Note that the first 4 decimals coincide. The cubic root of 191413376 is about 576.3116883030.

The spelling of 191413376 in words is "one hundred ninety-one million, four hundred thirteen thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 9856 19421 38842 77684 135947 155368 213631 271894 310736 427262 543788 621472 854524 1087576 1242944 1495417 1709048 2175152 2485888 2990834 3418096 4350304 5981668 6836192 8700608 11963336 13672384 17401216 23926672 27344768 47853344 95706688 191413376