Search a number
-
+
401020320 = 2535835459
BaseRepresentation
bin10111111001110…
…001010110100000
31000221120221110110
4113321301112200
51310130122240
6103443131320
712636421311
oct2771612640
91027527413
10401020320
11196402558
12b2373b40
136510ab3c
143b38c608
1525315c80
hex17e715a0

401020320 has 48 divisors (see below), whose sum is σ = 1263215520. Its totient is φ = 106938624.

The previous prime is 401020307. The next prime is 401020331. The reversal of 401020320 is 23020104.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 401020296 and 401020305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417250 + ... + 418209.

It is an arithmetic number, because the mean of its divisors is an integer number (26316990).

Almost surely, 2401020320 is an apocalyptic number.

401020320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401020320 is an abundant number, since it is smaller than the sum of its proper divisors (862195200).

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

401020320 is a wasteful number, since it uses less digits than its factorization.

401020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835477 (or 835469 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 401020320 is about 20025.4917542616. The cubic root of 401020320 is about 737.4322496415.

Adding to 401020320 its reverse (23020104), we get a palindrome (424040424).

The spelling of 401020320 in words is "four hundred one million, twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 835459 1670918 2506377 3341836 4177295 5012754 6683672 8354590 10025508 12531885 13367344 16709180 20051016 25063770 26734688 33418360 40102032 50127540 66836720 80204064 100255080 133673440 200510160 401020320