Search a number
-
+
401560380 = 2232513712417
BaseRepresentation
bin10111111011110…
…101001100111100
31000222121101021200
4113323311030330
51310244413010
6103502455500
712644130654
oct2773651474
91028541250
10401560380
11196741291
12b2594590
13652698c0
143b48d364
15253c0cc0
hex17ef533c

401560380 has 144 divisors (see below), whose sum is σ = 1330789824. Its totient is φ = 97413120.

The previous prime is 401560373. The next prime is 401560399. The reversal of 401560380 is 83065104.

401560380 is a `hidden beast` number, since 40 + 15 + 603 + 8 + 0 = 666.

It is a super-2 number, since 2×4015603802 = 322501477571488800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 164932 + ... + 167348.

It is an arithmetic number, because the mean of its divisors is an integer number (9241596).

Almost surely, 2401560380 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 401560380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665394912).

401560380 is an abundant number, since it is smaller than the sum of its proper divisors (929229444).

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

401560380 is a wasteful number, since it uses less digits than its factorization.

401560380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2511 counting only the distinct ones).

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

The square root of 401560380 is about 20038.9715304953. The cubic root of 401560380 is about 737.7631381233.

The spelling of 401560380 in words is "four hundred one million, five hundred sixty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 71 78 90 117 130 142 156 180 195 213 234 260 284 355 390 426 468 585 639 710 780 852 923 1065 1170 1278 1420 1846 2130 2340 2417 2556 2769 3195 3692 4260 4615 4834 5538 6390 7251 8307 9230 9668 11076 12085 12780 13845 14502 16614 18460 21753 24170 27690 29004 31421 33228 36255 41535 43506 48340 55380 62842 72510 83070 87012 94263 108765 125684 145020 157105 166140 171607 188526 217530 282789 314210 343214 377052 435060 471315 514821 565578 628420 686428 858035 942630 1029642 1131156 1413945 1544463 1716070 1885260 2059284 2230891 2574105 2827890 3088926 3432140 4461782 5148210 5655780 6177852 6692673 7722315 8923564 10296420 11154455 13385346 15444630 20078019 22308910 26770692 30889260 33463365 40156038 44617820 66926730 80312076 100390095 133853460 200780190 401560380