Search a number
-
+
401040120 = 233513257077
BaseRepresentation
bin10111111001110…
…110001011111000
31000221121221121210
4113321312023320
51310131240440
6103443403120
712636533115
oct2771661370
91027557553
10401040120
11196416418
12b23834a0
1365116b60
143b39590c
152531ba80
hex17e762f8

401040120 has 64 divisors (see below), whose sum is σ = 1295673120. Its totient is φ = 98717184.

The previous prime is 401040089. The next prime is 401040179. The reversal of 401040120 is 21040104.

It is a super-2 number, since 2×4010401202 = 321666355699228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 401040096 and 401040105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126979 + ... + 130098.

Almost surely, 2401040120 is an apocalyptic number.

401040120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401040120 is an abundant number, since it is smaller than the sum of its proper divisors (894633000).

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

401040120 is a wasteful number, since it uses less digits than its factorization.

401040120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257104 (or 257100 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 401040120 is about 20025.9861180417. The cubic root of 401040120 is about 737.4443861156. Note that the first 3 decimals are identical.

Adding to 401040120 its reverse (21040104), we get a palindrome (422080224).

The spelling of 401040120 in words is "four hundred one million, forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 257077 514154 771231 1028308 1285385 1542462 2056616 2570770 3084924 3342001 3856155 5141540 6169848 6684002 7712310 10026003 10283080 13368004 15424620 16710005 20052006 26736008 30849240 33420010 40104012 50130015 66840020 80208024 100260030 133680040 200520060 401040120