Search a number
-
+
401201640 = 23335753069
BaseRepresentation
bin10111111010011…
…101100111101000
31000221221011012000
4113322131213220
51310201423030
6103451051000
712641105040
oct2772354750
91027834160
10401201640
11196516804
12b2440a60
1365172528
143b3d8720
152534e860
hex17e9d9e8

401201640 has 128 divisors (see below), whose sum is σ = 1528416000. Its totient is φ = 91701504.

The previous prime is 401201629. The next prime is 401201657. The reversal of 401201640 is 46102104.

401201640 is a `hidden beast` number, since 4 + 0 + 1 + 20 + 1 + 640 = 666.

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

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, 18975 + ... + 34094.

It is an arithmetic number, because the mean of its divisors is an integer number (11940750).

Almost surely, 2401201640 is an apocalyptic number.

401201640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401201640 is an abundant number, since it is smaller than the sum of its proper divisors (1127214360).

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

401201640 is a wasteful number, since it uses less digits than its factorization.

401201640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53096 (or 53086 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 401201640 is about 20030.0184722830. The cubic root of 401201640 is about 737.5433754054.

Adding to 401201640 its reverse (46102104), we get a palindrome (447303744).

The spelling of 401201640 in words is "four hundred one million, two hundred one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 53069 106138 159207 212276 265345 318414 371483 424552 477621 530690 636828 742966 796035 955242 1061380 1114449 1273656 1432863 1485932 1592070 1857415 1910484 2122760 2228898 2388105 2865726 2971864 3184140 3343347 3714830 3820968 4457796 4776210 5572245 5731452 6368280 6686694 7164315 7429660 8915592 9552420 10030041 11144490 11462904 13373388 14328630 14859320 16716735 19104840 20060082 22288980 26746776 28657260 33433470 40120164 44577960 50150205 57314520 66866940 80240328 100300410 133733880 200600820 401201640