Search a number
-
+
149056017 = 311173743167
BaseRepresentation
bin10001110001001…
…10101000010001
3101101110211102020
420320212220101
5301124243032
622442442053
73456645435
oct1070465021
9341424366
10149056017
1177157aa0
1241b03329
1324b5b336
1415b209c5
15d144b2c
hex8e26a11

149056017 has 64 divisors (see below), whose sum is σ = 242694144. Its totient is φ = 80317440.

The previous prime is 149056013. The next prime is 149056057. The reversal of 149056017 is 710650941.

It is not a de Polignac number, because 149056017 - 22 = 149056013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (149056013) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 892468 + ... + 892634.

It is an arithmetic number, because the mean of its divisors is an integer number (3792096).

Almost surely, 2149056017 is an apocalyptic number.

149056017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

149056017 is a deficient number, since it is larger than the sum of its proper divisors (93638127).

149056017 is a wasteful number, since it uses less digits than its factorization.

149056017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 149056017 is about 12208.8499458385. The cubic root of 149056017 is about 530.2123475673.

The spelling of 149056017 in words is "one hundred forty-nine million, fifty-six thousand, seventeen".

Divisors: 1 3 11 17 33 37 43 51 111 129 167 187 407 473 501 561 629 731 1221 1419 1591 1837 1887 2193 2839 4773 5511 6179 6919 7181 8041 8517 17501 18537 20757 21543 24123 27047 31229 52503 67969 78991 81141 93687 105043 122077 203907 236973 265697 297517 315129 366231 797091 892551 1155473 1342847 2922667 3466419 4028541 4516849 8768001 13550547 49685339 149056017