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171990945 = 34571931103
BaseRepresentation
bin10100100000001…
…01111110100001
3102222122001020000
422100011332201
5323012202240
625022210213
74155620220
oct1220057641
9388561200
10171990945
11890a2385
1249723969
132982b5b9
1418bb0cb7
1510175430
hexa405fa1

171990945 has 160 divisors (see below), whose sum is σ = 386580480. Its totient is φ = 71383680.

The previous prime is 171990937. The next prime is 171990947. The reversal of 171990945 is 549099171.

It is not a de Polignac number, because 171990945 - 23 = 171990937 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 171990945.

It is not an unprimeable number, because it can be changed into a prime (171990947) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1669764 + ... + 1669866.

It is an arithmetic number, because the mean of its divisors is an integer number (2416128).

Almost surely, 2171990945 is an apocalyptic number.

171990945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

171990945 is an abundant number, since it is smaller than the sum of its proper divisors (214589535).

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

171990945 is a wasteful number, since it uses less digits than its factorization.

171990945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The square root of 171990945 is about 13114.5318254218. The cubic root of 171990945 is about 556.1200172655.

The spelling of 171990945 in words is "one hundred seventy-one million, nine hundred ninety thousand, nine hundred forty-five".

Divisors: 1 3 5 7 9 15 19 21 27 31 35 45 57 63 81 93 95 103 105 133 135 155 171 189 217 279 285 309 315 399 405 465 513 515 567 589 651 665 721 837 855 927 945 1085 1197 1395 1539 1545 1767 1953 1957 1995 2163 2511 2565 2781 2835 2945 3193 3255 3591 3605 4123 4185 4635 5301 5859 5871 5985 6489 7695 8343 8835 9579 9765 9785 10773 10815 12369 12555 13699 13905 15903 15965 17577 17613 17955 19467 20615 22351 26505 28737 29295 29355 32445 37107 41097 41715 47709 47895 52839 53865 58401 60667 61845 67053 68495 79515 86211 87885 88065 97335 111321 111755 123291 143685 158517 182001 185535 201159 205485 238545 258633 264195 292005 303335 333963 335265 369873 424669 431055 546003 556605 603477 616455 792585 910005 1005795 1109619 1274007 1293165 1638009 1669815 1810431 1849365 2123345 2730015 3017385 3822021 4914027 5548095 6370035 8190045 9052155 11466063 19110105 24570135 34398189 57330315 171990945