Search a number
-
+
155164005 = 36542569
BaseRepresentation
bin10010011111110…
…01110101100101
3101210222011000000
421033321311211
5304210222010
623221411513
73562605123
oct1117716545
9353864000
10155164005
117a64a017
1243b69b99
13261b9529
1416870913
15d94e7c0
hex93f9d65

155164005 has 28 divisors (see below), whose sum is σ = 279174060. Its totient is φ = 82752192.

The previous prime is 155163991. The next prime is 155164033. The reversal of 155164005 is 500461551.

It is a happy number.

155164005 is a `hidden beast` number, since 15 + 5 + 1 + 640 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61732449 + 93431556 = 7857^2 + 9666^2 .

It is not a de Polignac number, because 155164005 - 25 = 155163973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 155164005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17640 + ... + 24929.

Almost surely, 2155164005 is an apocalyptic number.

155164005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

155164005 is a deficient number, since it is larger than the sum of its proper divisors (124010055).

155164005 is an frugal number, since it uses more digits than its factorization.

155164005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42592 (or 42577 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 155164005 is about 12456.4844558969. The cubic root of 155164005 is about 537.3579274767.

It can be divided in two parts, 1551 and 64005, that added together give a palindrome (65556).

The spelling of 155164005 in words is "one hundred fifty-five million, one hundred sixty-four thousand, five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 3645 42569 127707 212845 383121 638535 1149363 1915605 3448089 5746815 10344267 17240445 31032801 51721335 155164005