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401906940 = 223529317451
BaseRepresentation
bin10111111101001…
…001110011111100
31001000020222200020
4113331021303330
51310342010230
6103514132140
712650103231
oct2775116374
91030228606
10401906940
111969586a6
12b2721050
136535b576
143b53d788
152543d810
hex17f49cfc

401906940 has 96 divisors (see below), whose sum is σ = 1201858560. Its totient is φ = 100128000.

The previous prime is 401906933. The next prime is 401906951. The reversal of 401906940 is 49609104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50215 + ... + 57665.

It is an arithmetic number, because the mean of its divisors is an integer number (12519360).

Almost surely, 2401906940 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 401906940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600929280).

401906940 is an abundant number, since it is smaller than the sum of its proper divisors (799951620).

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

401906940 is a wasteful number, since it uses less digits than its factorization.

401906940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7523 (or 7521 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 401906940 is about 20047.6168159709. The cubic root of 401906940 is about 737.9753151606.

The spelling of 401906940 in words is "four hundred one million, nine hundred six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 31 58 60 62 87 93 116 124 145 155 174 186 290 310 348 372 435 465 580 620 870 899 930 1740 1798 1860 2697 3596 4495 5394 7451 8990 10788 13485 14902 17980 22353 26970 29804 37255 44706 53940 74510 89412 111765 149020 216079 223530 230981 432158 447060 461962 648237 692943 864316 923924 1080395 1154905 1296474 1385886 2160790 2309810 2592948 2771772 3241185 3464715 4321580 4619620 6482370 6698449 6929430 12964740 13396898 13858860 20095347 26793796 33492245 40190694 66984490 80381388 100476735 133968980 200953470 401906940