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151880985 = 3254497517
BaseRepresentation
bin10010000110110…
…00010100011001
3101120210100112200
421003120110121
5302340142420
623023200413
73522652464
oct1103302431
9346710480
10151880985
1178807483
1242a46109
132560a109
14162582db
15d501b90
hex90d8519

151880985 has 24 divisors (see below), whose sum is σ = 263881800. Its totient is φ = 80812032.

The previous prime is 151880947. The next prime is 151881001. The reversal of 151880985 is 589088151.

It can be written as a sum of positive squares in 4 ways, for example, as 54641664 + 97239321 = 7392^2 + 9861^2 .

It is not a de Polignac number, because 151880985 - 26 = 151880921 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 151880985.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16447 + ... + 23963.

It is an arithmetic number, because the mean of its divisors is an integer number (10995075).

Almost surely, 2151880985 is an apocalyptic number.

151880985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

151880985 is a deficient number, since it is larger than the sum of its proper divisors (112000815).

151880985 is a wasteful number, since it uses less digits than its factorization.

151880985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7977 (or 7974 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 45.

The square root of 151880985 is about 12324.0003651412. Note that the first 3 decimals coincide. The cubic root of 151880985 is about 533.5410039786.

The spelling of 151880985 in words is "one hundred fifty-one million, eight hundred eighty thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 449 1347 2245 4041 6735 7517 20205 22551 37585 67653 112755 338265 3375133 10125399 16875665 30376197 50626995 151880985