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400040124 = 2231117473793
BaseRepresentation
bin10111110110000…
…010000010111100
31000212202010212220
4113312002002330
51304402240444
6103410125340
712625166511
oct2766020274
91025663786
10400040124
111958a3080
12b1b80850
1364b56943
143b1b5308
15251c0619
hex17d820bc

400040124 has 96 divisors (see below), whose sum is σ = 1101413376. Its totient is φ = 111636480.

The previous prime is 400040101. The next prime is 400040129. The reversal of 400040124 is 421040004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400040129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103572 + ... + 107364.

It is an arithmetic number, because the mean of its divisors is an integer number (11473056).

Almost surely, 2400040124 is an apocalyptic number.

400040124 is a gapful number since it is divisible by the number (44) 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 400040124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550706688).

400040124 is an abundant number, since it is smaller than the sum of its proper divisors (701373252).

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

400040124 is a wasteful number, since it uses less digits than its factorization.

400040124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3875 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 400040124 is about 20001.0030748460. The cubic root of 400040124 is about 736.8309352510.

Adding to 400040124 its reverse (421040004), we get a palindrome (821080128).

The spelling of 400040124 in words is "four hundred million, forty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 47 51 66 68 94 102 132 141 187 188 204 282 374 517 561 564 748 799 1034 1122 1551 1598 2068 2244 2397 3102 3196 3793 4794 6204 7586 8789 9588 11379 15172 17578 22758 26367 35156 41723 45516 52734 64481 83446 105468 125169 128962 166892 178271 193443 250338 257924 356542 386886 500676 534813 709291 713084 773772 1069626 1418582 1960981 2127873 2139252 2837164 3030607 3921962 4255746 5882943 6061214 7843924 8511492 9091821 11765886 12122428 18183642 23531772 33336677 36367284 66673354 100010031 133346708 200020062 400040124