Search a number
-
+
156261105 = 325711133469
BaseRepresentation
bin10010101000001…
…01101011110001
3101220000212221100
421110011223301
5310000323410
623301115013
73605124510
oct1124055361
9356025840
10156261105
1180229310
12443b8a69
13264b19c0
1416a78677
15dab98c0
hex9505af1

156261105 has 96 divisors (see below), whose sum is σ = 363767040. Its totient is φ = 59927040.

The previous prime is 156261067. The next prime is 156261107. The reversal of 156261105 is 501162651.

It is a happy number.

It is not a de Polignac number, because 156261105 - 27 = 156260977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (156261107) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 43311 + ... + 46779.

It is an arithmetic number, because the mean of its divisors is an integer number (3789240).

Almost surely, 2156261105 is an apocalyptic number.

156261105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

156261105 is an abundant number, since it is smaller than the sum of its proper divisors (207505935).

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

156261105 is a wasteful number, since it uses less digits than its factorization.

156261105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 156261105 is about 12500.4441921077. Note that the first 3 decimals coincide. The cubic root of 156261105 is about 538.6214322042.

The spelling of 156261105 in words is "one hundred fifty-six million, two hundred sixty-one thousand, one hundred five".

Divisors: 1 3 5 7 9 11 13 15 21 33 35 39 45 55 63 65 77 91 99 105 117 143 165 195 231 273 315 385 429 455 495 585 693 715 819 1001 1155 1287 1365 2145 3003 3465 3469 4095 5005 6435 9009 10407 15015 17345 24283 31221 38159 45045 45097 52035 72849 114477 121415 135291 156105 190795 218547 225485 267113 315679 343431 364245 405873 496067 572385 676455 801339 947037 1092735 1335565 1488201 1578395 1717155 2029365 2404017 2480335 2841111 3472469 4006695 4464603 4735185 7441005 10417407 12020085 14205555 17362345 22323015 31252221 52087035 156261105