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149602005 = 3357236883
BaseRepresentation
bin10001110101010…
…11111011010101
3101102111120101000
420322223323111
5301244231010
622502253513
73464411310
oct1072537325
9342446330
10149602005
11774a0223
1242127299
1324cbc9c7
1415c23977
15d2017c0
hex8eabed5

149602005 has 64 divisors (see below), whose sum is σ = 317214720. Its totient is φ = 65406528.

The previous prime is 149601983. The next prime is 149602069. The reversal of 149602005 is 500206941.

It is not a de Polignac number, because 149602005 - 25 = 149601973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 149602005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18294 + ... + 25176.

It is an arithmetic number, because the mean of its divisors is an integer number (4956480).

Almost surely, 2149602005 is an apocalyptic number.

149602005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

149602005 is an abundant number, since it is smaller than the sum of its proper divisors (167612715).

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

149602005 is a wasteful number, since it uses less digits than its factorization.

149602005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6927 (or 6921 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 149602005 is about 12231.1898440013. The cubic root of 149602005 is about 530.8589430297.

Adding to 149602005 its reverse (500206941), we get a palindrome (649808946).

The spelling of 149602005 in words is "one hundred forty-nine million, six hundred two thousand, five".

Divisors: 1 3 5 7 9 15 21 23 27 35 45 63 69 105 115 135 161 189 207 315 345 483 621 805 945 1035 1449 2415 3105 4347 6883 7245 20649 21735 34415 48181 61947 103245 144543 158309 185841 240905 309735 433629 474927 722715 791545 929205 1108163 1300887 1424781 2168145 2374635 3324489 4274343 5540815 6504435 7123905 9973467 16622445 21371715 29920401 49867335 149602005