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150001005 = 35721118553
BaseRepresentation
bin10001111000011…
…01010101101101
3101110020211200210
420330031111231
5301400013010
622515013033
73500662500
oct1074152555
9343224623
10150001005
1177742a80
124229a179
13250cc4bb
1415cc9137
15d27eb20
hex8f0d56d

150001005 has 48 divisors (see below), whose sum is σ = 304582464. Its totient is φ = 62334720.

The previous prime is 150000989. The next prime is 150001039. The reversal of 150001005 is 500100051.

It is not a de Polignac number, because 150001005 - 24 = 150000989 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1192 + ... + 17361.

It is an arithmetic number, because the mean of its divisors is an integer number (6345468).

Almost surely, 2150001005 is an apocalyptic number.

150001005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

150001005 is an abundant number, since it is smaller than the sum of its proper divisors (154581459).

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

150001005 is a wasteful number, since it uses less digits than its factorization.

150001005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18586 (or 18579 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 150001005 is about 12247.4897428004. The cubic root of 150001005 is about 531.3304712241.

Adding to 150001005 its reverse (500100051), we get a palindrome (650101056).

The spelling of 150001005 in words is "one hundred fifty million, one thousand, five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 385 539 735 1155 1617 2695 8085 18553 55659 92765 129871 204083 278295 389613 612249 649355 909097 1020415 1428581 1948065 2727291 3061245 4285743 4545485 7142905 10000067 13636455 21428715 30000201 50000335 150001005