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299149136 = 241113177691
BaseRepresentation
bin10001110101001…
…010011101010000
3202211220100110122
4101311022131100
51103040233021
645403445412
710261503626
oct2165123520
9684810418
10299149136
111439531a0
1284226868
1349c90730
142ba31516
151b3e1bab
hex11d4a750

299149136 has 80 divisors (see below), whose sum is σ = 721078848. Its totient is φ = 118118400.

The previous prime is 299149127. The next prime is 299149139. The reversal of 299149136 is 631941992.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (299149139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35051 + ... + 42741.

Almost surely, 2299149136 is an apocalyptic number.

299149136 is a gapful number since it is divisible by the number (26) 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 299149136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360539424).

299149136 is an abundant number, since it is smaller than the sum of its proper divisors (421929712).

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

299149136 is a wasteful number, since it uses less digits than its factorization.

299149136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7740 (or 7734 counting only the distinct ones).

The product of its digits is 104976, while the sum is 44.

The square root of 299149136 is about 17295.9283069744. The cubic root of 299149136 is about 668.7994659192.

The spelling of 299149136 in words is "two hundred ninety-nine million, one hundred forty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 13 16 17 22 26 34 44 52 68 88 104 136 143 176 187 208 221 272 286 374 442 572 748 884 1144 1496 1768 2288 2431 2992 3536 4862 7691 9724 15382 19448 30764 38896 61528 84601 99983 123056 130747 169202 199966 261494 338404 399932 522988 676808 799864 1045976 1099813 1353616 1438217 1599728 1699711 2091952 2199626 2876434 3399422 4399252 5752868 6798844 8798504 11505736 13597688 17597008 18696821 23011472 27195376 37393642 74787284 149574568 299149136