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152000009 = 7217182473
BaseRepresentation
bin10010000111101…
…01011000001001
3101121000101210222
421003311120021
5302403000014
623025515425
73523656500
oct1103653011
9347011728
10152000009
1178888947
1242aa2b75
132564c345
1416289837
15d52708e
hex90f5609

152000009 has 12 divisors (see below), whose sum is σ = 187218324. Its totient is φ = 122621184.

The previous prime is 151999987. The next prime is 152000047. The reversal of 152000009 is 900000251.

It can be written as a sum of positive squares in 2 ways, for example, as 140944384 + 11055625 = 11872^2 + 3325^2 .

It is not a de Polignac number, because 152000009 - 212 = 151995913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152000509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90404 + ... + 92069.

It is an arithmetic number, because the mean of its divisors is an integer number (15601527).

Almost surely, 2152000009 is an apocalyptic number.

It is an amenable number.

152000009 is a deficient number, since it is larger than the sum of its proper divisors (35218315).

152000009 is a wasteful number, since it uses less digits than its factorization.

152000009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182504 (or 182497 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 152000009 is about 12328.8283709361. The cubic root of 152000009 is about 533.6803402776.

The spelling of 152000009 in words is "one hundred fifty-two million, nine", and thus it is an aban number.

Divisors: 1 7 17 49 119 833 182473 1277311 3102041 8941177 21714287 152000009