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122066460 = 223351713297
BaseRepresentation
bin1110100011010…
…01011000011100
322111200121201000
413101221120130
5222222111320
620040150300
73011355615
oct721513034
9274617630
10122066460
11629a337a
1234a68390
131c39b699
14122d6c0c
15aab2c90
hex746961c

122066460 has 96 divisors (see below), whose sum is σ = 402131520. Its totient is φ = 30633984.

The previous prime is 122066447. The next prime is 122066489. The reversal of 122066460 is 64660221.

It is a happy number.

122066460 is a `hidden beast` number, since 12 + 2 + 0 + 6 + 646 + 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 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 31 ways as a sum of consecutive naturals, for example, 2532 + ... + 15828.

It is an arithmetic number, because the mean of its divisors is an integer number (4188870).

Almost surely, 2122066460 is an apocalyptic number.

122066460 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 122066460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201065760).

122066460 is an abundant number, since it is smaller than the sum of its proper divisors (280065060).

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

122066460 is a wasteful number, since it uses less digits than its factorization.

122066460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13332 (or 13324 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 122066460 is about 11048.3691104163. The cubic root of 122066460 is about 496.0576101571.

The spelling of 122066460 in words is "one hundred twenty-two million, sixty-six 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 13297 26594 39891 53188 66485 79782 119673 132970 159564 199455 226049 239346 265940 359019 398910 452098 478692 598365 678147 718038 797820 904196 1130245 1196730 1356294 1436076 1795095 2034441 2260490 2393460 2712588 3390735 3590190 4068882 4520980 6103323 6781470 7180380 8137764 10172205 12206646 13562940 20344410 24413292 30516615 40688820 61033230 122066460