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401560704 = 2732379421
BaseRepresentation
bin10111111011110…
…101010010000000
31000222121101201200
4113323311102000
51310244420304
6103502501200
712644131626
oct2773652200
91028541650
10401560704
11196741556
12b2594800
1365269aac
143b48d516
15253c0e39
hex17ef5480

401560704 has 96 divisors (see below), whose sum is σ = 1186889340. Its totient is φ = 130222080.

The previous prime is 401560669. The next prime is 401560711. The reversal of 401560704 is 407065104.

401560704 is a `hidden beast` number, since 40 + 15 + 607 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 393943104 + 7617600 = 19848^2 + 2760^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4015607042 = 322501997993951232, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37914 + ... + 47334.

Almost surely, 2401560704 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 401560704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593444670).

401560704 is an abundant number, since it is smaller than the sum of its proper divisors (785328636).

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

401560704 is a wasteful number, since it uses less digits than its factorization.

401560704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9478 (or 9463 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 401560704 is about 20038.9796147409. The cubic root of 401560704 is about 737.7633365452.

The spelling of 401560704 in words is "four hundred one million, five hundred sixty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 288 296 333 384 444 576 592 666 888 1152 1184 1332 1776 2368 2664 3552 4736 5328 7104 9421 10656 14208 18842 21312 28263 37684 42624 56526 75368 84789 113052 150736 169578 226104 301472 339156 348577 452208 602944 678312 697154 904416 1045731 1205888 1356624 1394308 1808832 2091462 2713248 2788616 3137193 3617664 4182924 5426496 5577232 6274386 8365848 10852992 11154464 12548772 16731696 22308928 25097544 33463392 44617856 50195088 66926784 100390176 133853568 200780352 401560704