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164706030 = 232517831297
BaseRepresentation
bin10011101000100…
…11011011101110
3102110220221012100
421310103123232
5314131043110
624202115530
74036656336
oct1164233356
9373827170
10164706030
1184a77095
12471abba6
132817a7b8
1417c360c6
15e6d6bc0
hex9d136ee

164706030 has 96 divisors (see below), whose sum is σ = 459242784. Its totient is φ = 40808448.

The previous prime is 164706029. The next prime is 164706043. The reversal of 164706030 is 30607461.

164706030 is a `hidden beast` number, since 16 + 47 + 0 + 603 + 0 = 666.

164706030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 164705985 and 164706003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126342 + ... + 127638.

It is an arithmetic number, because the mean of its divisors is an integer number (4783779).

Almost surely, 2164706030 is an apocalyptic number.

164706030 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 164706030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229621392).

164706030 is an abundant number, since it is smaller than the sum of its proper divisors (294536754).

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

164706030 is a wasteful number, since it uses less digits than its factorization.

164706030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 164706030 is about 12833.7847106767. The cubic root of 164706030 is about 548.1547305801.

It can be divided in two parts, 16470 and 6030, that added together give a square (22500 = 1502).

The spelling of 164706030 in words is "one hundred sixty-four million, seven hundred six thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 83 85 90 102 153 166 170 249 255 306 415 498 510 747 765 830 1245 1297 1411 1494 1530 2490 2594 2822 3735 3891 4233 6485 7055 7470 7782 8466 11673 12699 12970 14110 19455 21165 22049 23346 25398 38910 42330 44098 58365 63495 66147 107651 110245 116730 126990 132294 198441 215302 220490 322953 330735 396882 538255 645906 661470 968859 992205 1076510 1614765 1830067 1937718 1984410 3229530 3660134 4844295 5490201 9150335 9688590 10980402 16470603 18300670 27451005 32941206 54902010 82353015 164706030