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400023126 = 232157141551
BaseRepresentation
bin10111110101111…
…101111001010110
31000212201021120100
4113311331321112
51304401220001
6103405514530
712625066116
oct2765757126
91025637510
10400023126
11195891328
12b1b72a46
1364b4bc99
143b1ad046
15251ba586
hex17d7de56

400023126 has 24 divisors (see below), whose sum is σ = 872243424. Its totient is φ = 132490800.

The previous prime is 400023097. The next prime is 400023139. The reversal of 400023126 is 621320004.

It is a happy number.

It is a super-3 number, since 3×4000231263 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 400023099 and 400023108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67950 + ... + 73601.

It is an arithmetic number, because the mean of its divisors is an integer number (36343476).

Almost surely, 2400023126 is an apocalyptic number.

400023126 is an abundant number, since it is smaller than the sum of its proper divisors (472220298).

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

400023126 is a wasteful number, since it uses less digits than its factorization.

400023126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141716 (or 141713 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 400023126 is about 20000.5781416438. The cubic root of 400023126 is about 736.8204989398.

The spelling of 400023126 in words is "four hundred million, twenty-three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 157 314 471 942 1413 2826 141551 283102 424653 849306 1273959 2547918 22223507 44447014 66670521 133341042 200011563 400023126