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164894130 = 23452353167
BaseRepresentation
bin10011101010000…
…01010110110010
3102111021111020000
421311001112302
5314203103010
624210130430
74041401622
oct1165012662
9374244200
10164894130
1185095445
1247280a16
13282152bb
1417c84882
15e7227c0
hex9d415b2

164894130 has 160 divisors (see below), whose sum is σ = 474211584. Its totient is φ = 41019264.

The previous prime is 164894129. The next prime is 164894137. The reversal of 164894130 is 31498461.

164894130 is a `hidden beast` number, since 1 + 648 + 9 + 4 + 1 + 3 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (164894137) 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 79 ways as a sum of consecutive naturals, for example, 987307 + ... + 987473.

Almost surely, 2164894130 is an apocalyptic number.

164894130 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 164894130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237105792).

164894130 is an abundant number, since it is smaller than the sum of its proper divisors (309317454).

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

164894130 is a wasteful number, since it uses less digits than its factorization.

164894130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 164894130 is about 12841.1109332487. The cubic root of 164894130 is about 548.3633217668.

The spelling of 164894130 in words is "one hundred sixty-four million, eight hundred ninety-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 53 54 69 81 90 106 115 135 138 159 162 167 207 230 265 270 318 334 345 405 414 477 501 530 621 690 795 810 835 954 1002 1035 1219 1242 1431 1503 1590 1670 1863 2070 2385 2438 2505 2862 3006 3105 3657 3726 3841 4293 4509 4770 5010 6095 6210 7155 7314 7515 7682 8586 8851 9018 9315 10971 11523 12190 13527 14310 15030 17702 18285 18630 19205 21465 21942 22545 23046 26553 27054 32913 34569 36570 38410 42930 44255 45090 53106 54855 57615 65826 67635 69138 79659 88510 98739 103707 109710 115230 132765 135270 159318 164565 172845 197478 203573 207414 238977 265530 311121 329130 345690 398295 407146 477954 493695 518535 610719 622242 716931 796590 987390 1017865 1037070 1194885 1221438 1433862 1555605 1832157 2035730 2389770 3053595 3111210 3584655 3664314 5496471 6107190 7169310 9160785 10992942 16489413 18321570 27482355 32978826 54964710 82447065 164894130