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412520940 = 2232513296079
BaseRepresentation
bin11000100101101…
…001000111101100
31001202020020100100
4120211221013230
51321101132230
6104533431100
713136240646
oct3045510754
91052206310
10412520940
111a19480a7
12b619b490
1367606740
143cb03896
1526338660
hex189691ec

412520940 has 144 divisors (see below), whose sum is σ = 1394265600. Its totient is φ = 98025984.

The previous prime is 412520923. The next prime is 412520959. The reversal of 412520940 is 49025214.

412520940 is a `hidden beast` number, since 412 + 5 + 209 + 40 = 666.

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, 64821 + ... + 70899.

It is an arithmetic number, because the mean of its divisors is an integer number (9682400).

Almost surely, 2412520940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412520940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697132800).

412520940 is an abundant number, since it is smaller than the sum of its proper divisors (981744660).

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

412520940 is a wasteful number, since it uses less digits than its factorization.

412520940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6136 (or 6131 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 412520940 is about 20310.6115122120. The cubic root of 412520940 is about 744.4153724611.

The spelling of 412520940 in words is "four hundred twelve million, five hundred twenty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 52 58 60 65 78 87 90 116 117 130 145 156 174 180 195 234 260 261 290 348 377 390 435 468 522 580 585 754 780 870 1044 1131 1170 1305 1508 1740 1885 2262 2340 2610 3393 3770 4524 5220 5655 6079 6786 7540 11310 12158 13572 16965 18237 22620 24316 30395 33930 36474 54711 60790 67860 72948 79027 91185 109422 121580 158054 176291 182370 218844 237081 273555 316108 352582 364740 395135 474162 528873 547110 705164 711243 790270 881455 948324 1057746 1094220 1185405 1422486 1580540 1586619 1762910 2115492 2291783 2370810 2644365 2844972 3173238 3525820 3556215 4583566 4741620 5288730 6346476 6875349 7112430 7933095 9167132 10577460 11458915 13750698 14224860 15866190 20626047 22917830 27501396 31732380 34376745 41252094 45835660 68753490 82504188 103130235 137506980 206260470 412520940