Search a number
-
+
400028960 = 2553180651
BaseRepresentation
bin10111110101111…
…111010100100000
31000212201120120102
4113311333110200
51304401411320
6103410001532
712625122122
oct2765772440
91025646512
10400028960
11195895751
12b1b762a8
1364b51836
143b1b1212
15251bc175
hex17d7f520

400028960 has 48 divisors (see below), whose sum is σ = 975566592. Its totient is φ = 154848000.

The previous prime is 400028939. The next prime is 400028999. The reversal of 400028960 is 69820004.

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 7 ways as a sum of consecutive naturals, for example, 35366 + ... + 45285.

It is an arithmetic number, because the mean of its divisors is an integer number (20324304).

Almost surely, 2400028960 is an apocalyptic number.

400028960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400028960 is an abundant number, since it is smaller than the sum of its proper divisors (575537632).

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

400028960 is a wasteful number, since it uses less digits than its factorization.

400028960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80697 (or 80689 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 400028960 is about 20000.7239868961. The cubic root of 400028960 is about 736.8240808910.

Adding to 400028960 its reverse (69820004), we get a palindrome (469848964).

The spelling of 400028960 in words is "four hundred million, twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 80651 161302 322604 403255 645208 806510 1290416 1613020 2500181 2580832 3226040 5000362 6452080 10000724 12500905 12904160 20001448 25001810 40002896 50003620 80005792 100007240 200014480 400028960