Search a number
-
+
172079010 = 232519103977
BaseRepresentation
bin10100100000110…
…11011110100010
3102222210112000200
422100123132202
5323023012020
625024130030
74156435035
oct1220333642
9388715020
10172079010
1189152564
1249766916
132985c6cc
1418bd501c
1510191590
hexa41b7a2

172079010 has 96 divisors (see below), whose sum is σ = 476012160. Its totient is φ = 43006464.

The previous prime is 172078997. The next prime is 172079027. The reversal of 172079010 is 10970271.

It is a super-2 number, since 2×1720790102 = 59222371365160200, which contains 22 as substring.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 175642 + ... + 176618.

It is an arithmetic number, because the mean of its divisors is an integer number (4958460).

Almost surely, 2172079010 is an apocalyptic number.

172079010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 172079010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238006080).

172079010 is an abundant number, since it is smaller than the sum of its proper divisors (303933150).

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

172079010 is a wasteful number, since it uses less digits than its factorization.

172079010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 172079010 is about 13117.8889307693. Note that the first 3 decimals coincide. The cubic root of 172079010 is about 556.2149182942.

The spelling of 172079010 in words is "one hundred seventy-two million, seventy-nine thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 103 114 171 190 206 285 309 342 515 570 618 855 927 977 1030 1545 1710 1854 1954 1957 2931 3090 3914 4635 4885 5862 5871 8793 9270 9770 9785 11742 14655 17586 17613 18563 19570 29310 29355 35226 37126 43965 55689 58710 87930 88065 92815 100631 111378 167067 176130 185630 201262 278445 301893 334134 503155 556890 603786 835335 905679 1006310 1509465 1670670 1811358 1911989 3018930 3823978 4528395 5735967 9056790 9559945 11471934 17207901 19119890 28679835 34415802 57359670 86039505 172079010