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190413060 = 223519259149
BaseRepresentation
bin10110101100101…
…11100100000100
3111021021222121120
423112113210010
5342221204220
630521113540
74501325055
oct1326274404
9437258546
10190413060
1198535172
12539288b0
13305ab766
141b40872c
1511ab3a40
hexb597904

190413060 has 144 divisors (see below), whose sum is σ = 576072000. Its totient is φ = 46971648.

The previous prime is 190413031. The next prime is 190413077. The reversal of 190413060 is 60314091.

It is a self number, because there is not a number n which added to its sum of digits gives 190413060.

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, 1277866 + ... + 1278014.

It is an arithmetic number, because the mean of its divisors is an integer number (4000500).

Almost surely, 2190413060 is an apocalyptic number.

190413060 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 190413060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288036000).

190413060 is an abundant number, since it is smaller than the sum of its proper divisors (385658940).

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

190413060 is a wasteful number, since it uses less digits than its factorization.

190413060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 190413060 is about 13799.0238785213. The cubic root of 190413060 is about 575.3060097683.

The spelling of 190413060 in words is "one hundred ninety million, four hundred thirteen thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 59 60 76 95 114 118 149 177 190 228 236 285 295 298 354 361 380 447 570 590 596 708 722 745 885 894 1083 1121 1140 1180 1444 1490 1770 1788 1805 2166 2235 2242 2831 2980 3363 3540 3610 4332 4470 4484 5415 5605 5662 6726 7220 8493 8791 8940 10830 11210 11324 13452 14155 16815 16986 17582 21299 21660 22420 26373 28310 33630 33972 35164 42465 42598 43955 52746 53789 56620 63897 67260 84930 85196 87910 105492 106495 107578 127794 131865 161367 167029 169860 175820 212990 215156 255588 263730 268945 319485 322734 334058 425980 501087 527460 537890 638970 645468 668116 806835 835145 1002174 1075780 1277940 1613670 1670290 2004348 2505435 3173551 3227340 3340580 5010870 6347102 9520653 10021740 12694204 15867755 19041306 31735510 38082612 47603265 63471020 95206530 190413060