Search a number
-
+
156853305 = 32571721723
BaseRepresentation
bin10010101100101…
…10010000111001
3101221010222021200
421112112100321
5310123301210
623321524413
73613142160
oct1126262071
9357128250
10156853305
11805a3234
1244643709
132665b40b
1416b903d7
15db850c0
hex9596439

156853305 has 72 divisors (see below), whose sum is σ = 330263232. Its totient is φ = 67447296.

The previous prime is 156853259. The next prime is 156853313. The reversal of 156853305 is 503358651.

It is not a de Polignac number, because 156853305 - 213 = 156845113 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 156853305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90174 + ... + 91896.

Almost surely, 2156853305 is an apocalyptic number.

156853305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

156853305 is an abundant number, since it is smaller than the sum of its proper divisors (173409927).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

156853305 is a wasteful number, since it uses less digits than its factorization.

156853305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 156853305 is about 12524.1089503405. The cubic root of 156853305 is about 539.3009988630.

The spelling of 156853305 in words is "one hundred fifty-six million, eight hundred fifty-three thousand, three hundred five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 289 315 357 595 765 867 1071 1445 1723 1785 2023 2601 4335 5169 5355 6069 8615 10115 12061 13005 15507 18207 25845 29291 30345 36183 60305 77535 87873 91035 108549 146455 180915 205037 263619 439365 497947 542745 615111 1025185 1318095 1493841 1845333 2489735 3075555 3485629 4481523 7469205 9226665 10456887 17428145 22407615 31370661 52284435 156853305