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400203540 = 22325111071889
BaseRepresentation
bin10111110110101…
…001111100010100
31000220001110001100
4113312221330110
51304423003130
6103413430100
712626450112
oct2766517424
91026043040
10400203540
111959a4930
12b203b330
1364bb3139
143b218ab2
1525203c60
hex17da9f14

400203540 has 144 divisors (see below), whose sum is σ = 1337394240. Its totient is φ = 96061440.

The previous prime is 400203539. The next prime is 400203553. The reversal of 400203540 is 45302004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210916 + ... + 212804.

It is an arithmetic number, because the mean of its divisors is an integer number (9287460).

Almost surely, 2400203540 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 400203540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668697120).

400203540 is an abundant number, since it is smaller than the sum of its proper divisors (937190700).

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

400203540 is a wasteful number, since it uses less digits than its factorization.

400203540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 400203540 is about 20005.0878528438. The cubic root of 400203540 is about 736.9312531648.

Adding to 400203540 its reverse (45302004), we get a palindrome (445505544).

The spelling of 400203540 in words is "four hundred million, two hundred three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 107 110 132 165 180 198 214 220 321 330 396 428 495 535 642 660 963 990 1070 1177 1284 1605 1889 1926 1980 2140 2354 3210 3531 3778 3852 4708 4815 5667 5885 6420 7062 7556 9445 9630 10593 11334 11770 14124 17001 17655 18890 19260 20779 21186 22668 23540 28335 34002 35310 37780 41558 42372 52965 56670 62337 68004 70620 83116 85005 103895 105930 113340 124674 170010 187011 202123 207790 211860 249348 311685 340020 374022 404246 415580 606369 623370 748044 808492 935055 1010615 1212738 1246740 1819107 1870110 2021230 2223353 2425476 3031845 3638214 3740220 4042460 4446706 6063690 6670059 7276428 8893412 9095535 11116765 12127380 13340118 18191070 20010177 22233530 26680236 33350295 36382140 40020354 44467060 66700590 80040708 100050885 133401180 200101770 400203540