Search a number
-
+
400203240 = 233513923993
BaseRepresentation
bin10111110110101…
…001110111101000
31000220001102122020
4113312221313220
51304423000430
6103413424440
712626446203
oct2766516750
91026042566
10400203240
111959a4688
12b203b120
1364bb2c68
143b21893a
1525203b10
hex17da9de8

400203240 has 64 divisors (see below), whose sum is σ = 1209297600. Its totient is φ = 105948672.

The previous prime is 400203217. The next prime is 400203253. The reversal of 400203240 is 42302004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 4684 + ... + 28676.

It is an arithmetic number, because the mean of its divisors is an integer number (18895275).

Almost surely, 2400203240 is an apocalyptic number.

400203240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400203240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604648800).

400203240 is an abundant number, since it is smaller than the sum of its proper divisors (809094360).

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

400203240 is a wasteful number, since it uses less digits than its factorization.

400203240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24146 (or 24142 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 400203240 is about 20005.0803547499. The cubic root of 400203240 is about 736.9310690257.

Adding to 400203240 its reverse (42302004), we get a palindrome (442505244).

The spelling of 400203240 in words is "four hundred million, two hundred three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2780 3336 4170 5560 8340 16680 23993 47986 71979 95972 119965 143958 191944 239930 287916 359895 479860 575832 719790 959720 1439580 2879160 3335027 6670054 10005081 13340108 16675135 20010162 26680216 33350270 40020324 50025405 66700540 80040648 100050810 133401080 200101620 400203240