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400420200 = 23352667367
BaseRepresentation
bin10111110111011…
…110110101101000
31000220110110020210
4113313132311220
51310001421300
6103422221120
712631341555
oct2767366550
91026413223
10400420200
11196032694
12b21247a0
1364c5a93b
143b273a2c
1525248050
hex17dded68

400420200 has 48 divisors (see below), whose sum is σ = 1241304480. Its totient is φ = 106778560.

The previous prime is 400420187. The next prime is 400420217. The reversal of 400420200 is 2024004.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333084 + ... + 334283.

It is an arithmetic number, because the mean of its divisors is an integer number (25860510).

Almost surely, 2400420200 is an apocalyptic number.

400420200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400420200 is an abundant number, since it is smaller than the sum of its proper divisors (840884280).

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

400420200 is a wasteful number, since it uses less digits than its factorization.

400420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667386 (or 667377 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 400420200 is about 20010.5022425725. The cubic root of 400420200 is about 737.0642144420.

Adding to 400420200 its reverse (2024004), we get a palindrome (402444204).

The spelling of 400420200 in words is "four hundred million, four hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 667367 1334734 2002101 2669468 3336835 4004202 5338936 6673670 8008404 10010505 13347340 16016808 16684175 20021010 26694680 33368350 40042020 50052525 66736700 80084040 100105050 133473400 200210100 400420200