Search a number
-
+
401645020 = 225741167419
BaseRepresentation
bin10111111100001…
…001110111011100
31000222202200101111
4113330021313130
51310310120040
6103504351404
712644632510
oct2774116734
91028680344
10401645020
11196799937
12b2615564
136529929a
143b4b2140
15253dadea
hex17f09ddc

401645020 has 96 divisors (see below), whose sum is σ = 995742720. Its totient is φ = 133224960.

The previous prime is 401645017. The next prime is 401645059. The reversal of 401645020 is 20546104.

It is a super-2 number, since 2×4016450202 = 322637444181600800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401644982 and 401645000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 958371 + ... + 958789.

It is an arithmetic number, because the mean of its divisors is an integer number (10372320).

Almost surely, 2401645020 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 401645020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497871360).

401645020 is an abundant number, since it is smaller than the sum of its proper divisors (594097700).

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

401645020 is a wasteful number, since it uses less digits than its factorization.

401645020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 401645020 is about 20041.0833040532. The cubic root of 401645020 is about 737.8149691706.

The spelling of 401645020 in words is "four hundred one million, six hundred forty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 167 205 287 334 410 419 574 668 820 835 838 1148 1169 1435 1670 1676 2095 2338 2870 2933 3340 4190 4676 5740 5845 5866 6847 8380 11690 11732 13694 14665 17179 23380 27388 29330 34235 34358 47929 58660 68470 68716 69973 85895 95858 120253 136940 139946 171790 191716 239645 240506 279892 343580 349865 479290 481012 489811 601265 699730 958580 979622 1202530 1399460 1959244 2405060 2449055 2868893 4898110 5737786 9796220 11475572 14344465 20082251 28688930 40164502 57377860 80329004 100411255 200822510 401645020