Search a number
-
+
149147505 = 325131931321
BaseRepresentation
bin10001110001111…
…00111101110001
3101101122110220200
420320330331301
5301140210010
622444425413
73460506243
oct1070747561
9341573820
10149147505
117720a801
1241b48269
1324b90b80
1415b46093
15d161cc0
hex8e3cf71

149147505 has 48 divisors (see below), whose sum is σ = 280063056. Its totient is φ = 72990720.

The previous prime is 149147503. The next prime is 149147519. The reversal of 149147505 is 505741941.

149147505 is a `hidden beast` number, since 1 + 4 + 9 + 147 + 505 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3196944 + 145950561 = 1788^2 + 12081^2 .

It is not a de Polignac number, because 149147505 - 21 = 149147503 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 149147505.

It is not an unprimeable number, because it can be changed into a prime (149147503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112245 + ... + 113565.

It is an arithmetic number, because the mean of its divisors is an integer number (5834647).

Almost surely, 2149147505 is an apocalyptic number.

149147505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

149147505 is a deficient number, since it is larger than the sum of its proper divisors (130915551).

149147505 is a wasteful number, since it uses less digits than its factorization.

149147505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 149147505 is about 12212.5961613410. The cubic root of 149147505 is about 530.3208037641.

The spelling of 149147505 in words is "one hundred forty-nine million, one hundred forty-seven thousand, five hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 193 195 579 585 965 1321 1737 2509 2895 3963 6605 7527 8685 11889 12545 17173 19815 22581 37635 51519 59445 85865 112905 154557 254953 257595 764859 772785 1274765 2294577 3314389 3824295 9943167 11472885 16571945 29829501 49715835 149147505