Search a number
-
+
401157036 = 223776551
BaseRepresentation
bin10111111010010…
…010101110101100
31000221211220000000
4113322102232230
51310144011121
6103450104300
712640531020
oct2772225654
91027756000
10401157036
11196496245
12b241b090
1365158137
143b3c6380
1525341526
hex17e92bac

401157036 has 96 divisors (see below), whose sum is σ = 1203471360. Its totient is φ = 114598800.

The previous prime is 401156999. The next prime is 401157047. The reversal of 401157036 is 630751104.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 57961 + ... + 64511.

It is an arithmetic number, because the mean of its divisors is an integer number (12536160).

Almost surely, 2401157036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401157036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601735680).

401157036 is an abundant number, since it is smaller than the sum of its proper divisors (802314324).

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

401157036 is an equidigital number, since it uses as much as digits as its factorization.

401157036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6583 (or 6563 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 401157036 is about 20028.9050125063. The cubic root of 401157036 is about 737.5160420144.

The spelling of 401157036 in words is "four hundred one million, one hundred fifty-seven thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2187 2268 2916 3402 4374 5103 6551 6804 8748 10206 13102 15309 19653 20412 26204 30618 39306 45857 58959 61236 78612 91714 117918 137571 176877 183428 235836 275142 353754 412713 530631 550284 707508 825426 1061262 1238139 1591893 1650852 2122524 2476278 3183786 3714417 4775679 4952556 6367572 7428834 9551358 11143251 14327037 14857668 19102716 22286502 28654074 33429753 44573004 57308148 66859506 100289259 133719012 200578518 401157036