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400124790 = 2325132314869
BaseRepresentation
bin10111110110010…
…110101101110110
31000212220110000200
4113312112231312
51304412443130
6103412021330
712626001402
oct2766265566
91025813020
10400124790
1119595074a
12b2001846
1364b86340
143b1d8102
15251da760
hex17d96b76

400124790 has 96 divisors (see below), whose sum is σ = 1169138880. Its totient is φ = 94203648.

The previous prime is 400124789. The next prime is 400124797. The reversal of 400124790 is 97421004.

It is a happy number.

It is a super-3 number, since 3×4001247903 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400124797) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 19476 + ... + 34344.

It is an arithmetic number, because the mean of its divisors is an integer number (12178530).

Almost surely, 2400124790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400124790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584569440).

400124790 is an abundant number, since it is smaller than the sum of its proper divisors (769014090).

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

400124790 is a wasteful number, since it uses less digits than its factorization.

400124790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14918 (or 14915 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 400124790 is about 20003.1195067169. The cubic root of 400124790 is about 736.8829134766.

Adding to 400124790 its reverse (97421004), we get a palindrome (497545794).

The spelling of 400124790 in words is "four hundred million, one hundred twenty-four thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 30 39 45 46 65 69 78 90 115 117 130 138 195 207 230 234 299 345 390 414 585 598 690 897 1035 1170 1495 1794 2070 2691 2990 4485 5382 8970 13455 14869 26910 29738 44607 74345 89214 133821 148690 193297 223035 267642 341987 386594 446070 579891 669105 683974 966485 1025961 1159782 1338210 1709935 1739673 1932970 2051922 2899455 3077883 3419870 3479346 4445831 5129805 5798910 6155766 8698365 8891662 10259610 13337493 15389415 17396730 22229155 26674986 30778830 40012479 44458310 66687465 80024958 133374930 200062395 400124790