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149308965 = 32513229677
BaseRepresentation
bin10001110011001…
…00011000100101
3101101221200101200
420321210120211
5301210341330
622452113113
73462051051
oct1071443045
9341850350
10149308965
1177310043
1242005799
1324c19500
1415b88c61
15d194a60
hex8e64625

149308965 has 72 divisors (see below), whose sum is σ = 290333160. Its totient is φ = 70866432.

The previous prime is 149308937. The next prime is 149308987. The reversal of 149308965 is 569803941.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 32798529 + 116510436 = 5727^2 + 10794^2 .

It is not a de Polignac number, because 149308965 - 210 = 149307941 is a prime.

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 149308965.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 220207 + ... + 220883.

It is an arithmetic number, because the mean of its divisors is an integer number (4032405).

Almost surely, 2149308965 is an apocalyptic number.

149308965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

149308965 is a deficient number, since it is larger than the sum of its proper divisors (141024195).

149308965 is a wasteful number, since it uses less digits than its factorization.

149308965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 149308965 is about 12219.2047613582. The cubic root of 149308965 is about 530.5121014496.

The spelling of 149308965 in words is "one hundred forty-nine million, three hundred eight thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 13 15 29 39 45 65 87 117 145 169 195 261 377 435 507 585 677 845 1131 1305 1521 1885 2031 2535 3385 3393 4901 5655 6093 7605 8801 10155 14703 16965 19633 24505 26403 30465 44005 44109 58899 73515 79209 98165 114413 132015 176697 220545 255229 294495 343239 396045 572065 765687 883485 1029717 1276145 1716195 2297061 3317977 3828435 5148585 9953931 11485305 16589885 29861793 49769655 149308965