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166130460 = 223351718097
BaseRepresentation
bin10011110011011…
…11001100011100
3102120121022011000
421321233030130
5320012133320
624252430300
74055041236
oct1171571434
9376538130
10166130460
118585a301
1247778390
1328558c62
14180c7256
15e8b8c90
hex9e6f31c

166130460 has 96 divisors (see below), whose sum is σ = 547283520. Its totient is φ = 41693184.

The previous prime is 166130441. The next prime is 166130467. The reversal of 166130460 is 64031661.

166130460 is a `hidden beast` number, since 1 + 6 + 613 + 0 + 46 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166130467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132 + ... + 18228.

It is an arithmetic number, because the mean of its divisors is an integer number (5700870).

Almost surely, 2166130460 is an apocalyptic number.

166130460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166130460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273641760).

166130460 is an abundant number, since it is smaller than the sum of its proper divisors (381153060).

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

166130460 is a wasteful number, since it uses less digits than its factorization.

166130460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18132 (or 18124 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 166130460 is about 12889.1605622709. The cubic root of 166130460 is about 549.7304023061.

The spelling of 166130460 in words is "one hundred sixty-six million, one hundred thirty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 18097 36194 54291 72388 90485 108582 162873 180970 217164 271455 307649 325746 361940 488619 542910 615298 651492 814365 922947 977238 1085820 1230596 1538245 1628730 1845894 1954476 2443095 2768841 3076490 3257460 3691788 4614735 4886190 5537682 6152980 8306523 9229470 9772380 11075364 13844205 16613046 18458940 27688410 33226092 41532615 55376820 83065230 166130460