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400013250 = 23537135861
BaseRepresentation
bin10111110101111…
…011011111000010
31000212200210000120
4113311323133002
51304400411000
6103405401110
712625025250
oct2765733702
91025623016
10400013250
1119588496a
12b1b69196
1364b47640
143b1a95d0
15251b76a0
hex17d7b7c2

400013250 has 128 divisors (see below), whose sum is σ = 1229050368. Its totient is φ = 84384000.

The previous prime is 400013239. The next prime is 400013279. The reversal of 400013250 is 52310004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 65320 + ... + 71180.

It is an arithmetic number, because the mean of its divisors is an integer number (9601956).

Almost surely, 2400013250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400013250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614525184).

400013250 is an abundant number, since it is smaller than the sum of its proper divisors (829037118).

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

400013250 is a wasteful number, since it uses less digits than its factorization.

400013250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5901 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 400013250 is about 20000.3312472569. The cubic root of 400013250 is about 736.8144352078.

Adding to 400013250 its reverse (52310004), we get a palindrome (452323254).

The spelling of 400013250 in words is "four hundred million, thirteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 50 65 70 75 78 91 105 125 130 150 175 182 195 210 250 273 325 350 375 390 455 525 546 650 750 875 910 975 1050 1365 1625 1750 1950 2275 2625 2730 3250 4550 4875 5250 5861 6825 9750 11375 11722 13650 17583 22750 29305 34125 35166 41027 58610 68250 76193 82054 87915 123081 146525 152386 175830 205135 228579 246162 293050 380965 410270 439575 457158 533351 615405 732625 761930 879150 1025675 1066702 1142895 1230810 1465250 1600053 1904825 2051350 2197875 2285790 2666755 3077025 3200106 3809650 4395750 5128375 5333510 5714475 6154050 8000265 9524125 10256750 11428950 13333775 15385125 16000530 19048250 26667550 28572375 30770250 40001325 57144750 66668875 80002650 133337750 200006625 400013250