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172130805 = 33571129571
BaseRepresentation
bin10100100001010…
…00000111110101
3102222220011002000
422100220013311
5323031141210
625025205513
74160042040
oct1220500765
9388804060
10172130805
1189188470
1249790899
132987a162
1418c09c57
15101a1ac0
hexa4281f5

172130805 has 128 divisors (see below), whose sum is σ = 395366400. Its totient is φ = 68947200.

The previous prime is 172130759. The next prime is 172130843. The reversal of 172130805 is 508031271.

It is not a de Polignac number, because 172130805 - 210 = 172129781 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 301170 + ... + 301740.

It is an arithmetic number, because the mean of its divisors is an integer number (3088800).

Almost surely, 2172130805 is an apocalyptic number.

172130805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

172130805 is an abundant number, since it is smaller than the sum of its proper divisors (223235595).

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

172130805 is a wasteful number, since it uses less digits than its factorization.

172130805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 172130805 is about 13119.8629947115. The cubic root of 172130805 is about 556.2707187502.

The spelling of 172130805 in words is "one hundred seventy-two million, one hundred thirty thousand, eight hundred five".

Divisors: 1 3 5 7 9 11 15 21 27 29 33 35 45 55 63 77 87 99 105 135 145 165 189 203 231 261 297 315 319 385 435 495 571 609 693 783 945 957 1015 1155 1305 1485 1595 1713 1827 2079 2233 2855 2871 3045 3465 3915 3997 4785 5139 5481 6281 6699 8565 8613 9135 10395 11165 11991 14355 15417 16559 18843 19985 20097 25695 27405 31405 33495 35973 43065 43967 49677 56529 59955 60291 77085 82795 94215 100485 107919 115913 131901 149031 169587 179865 182149 219835 248385 282645 301455 347739 395703 447093 539595 546447 579565 659505 745155 847935 910745 1043217 1187109 1275043 1639341 1738695 1978515 2235465 2732235 3129651 3825129 4918023 5216085 5935545 6375215 8196705 11475387 15648255 19125645 24590115 34426161 57376935 172130805