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400014030 = 2351319371459
BaseRepresentation
bin10111110101111…
…011101011001110
31000212200211002110
4113311323223032
51304400422110
6103405404450
712625030443
oct2765735316
91025624073
10400014030
11195885509
12b1b69726
1364b47ac0
143b1a99ca
15251b7a20
hex17d7bace

400014030 has 128 divisors (see below), whose sum is σ = 1118476800. Its totient is φ = 90699264.

The previous prime is 400014019. The next prime is 400014031. The reversal of 400014030 is 30410004.

It is a super-2 number, since 2×4000140302 = 320022448393681800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400013997 and 400014015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400014031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273441 + ... + 274899.

It is an arithmetic number, because the mean of its divisors is an integer number (8738100).

Almost surely, 2400014030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400014030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559238400).

400014030 is an abundant number, since it is smaller than the sum of its proper divisors (718462770).

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

400014030 is a wasteful number, since it uses less digits than its factorization.

400014030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 400014030 is about 20000.3507469244. The cubic root of 400014030 is about 736.8149141210.

Adding to 400014030 its reverse (30410004), we get a palindrome (430424034).

The spelling of 400014030 in words is "four hundred million, fourteen thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 37 38 39 57 65 74 78 95 111 114 130 185 190 195 222 247 285 370 390 481 494 555 570 703 741 962 1110 1235 1406 1443 1459 1482 2109 2405 2470 2886 2918 3515 3705 4218 4377 4810 7030 7215 7295 7410 8754 9139 10545 14430 14590 18278 18967 21090 21885 27417 27721 37934 43770 45695 53983 54834 55442 56901 83163 91390 94835 107966 113802 137085 138605 161949 166326 189670 269915 274170 277210 284505 323898 360373 415815 539830 569010 701779 720746 809745 831630 1025677 1081119 1403558 1619490 1801865 2051354 2105337 2162238 3077031 3508895 3603730 4210674 5128385 5405595 6154062 7017790 10256770 10526685 10811190 13333801 15385155 21053370 26667602 30770310 40001403 66669005 80002806 133338010 200007015 400014030