Search a number
-
+
1400469750 = 2355323053
BaseRepresentation
bin101001101111001…
…0111100011110110
310121121020020100000
41103132113203312
510332010013000
6350544532130
746463540121
oct12336274366
93547206300
101400469750
1165958a719
12331021046
131941b4534
14d3dd53b8
1582e39000
hex537978f6

1400469750 has 96 divisors (see below), whose sum is σ = 3927295008. Its totient is φ = 373442400.

The previous prime is 1400469743. The next prime is 1400469751. The reversal of 1400469750 is 579640041.

1400469750 is a `hidden beast` number, since 140 + 0 + 469 + 7 + 50 = 666.

It is a super-2 number, since 2×14004697502 = 3922631041330125000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400469751) 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, 49224 + ... + 72276.

It is an arithmetic number, because the mean of its divisors is an integer number (40909323).

Almost surely, 21400469750 is an apocalyptic number.

1400469750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400469750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963647504).

1400469750 is an abundant number, since it is smaller than the sum of its proper divisors (2526825258).

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

1400469750 is an equidigital number, since it uses as much as digits as its factorization.

1400469750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23085 (or 23063 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1400469750 is about 37422.8506396827. The cubic root of 1400469750 is about 1118.8140481210.

The spelling of 1400469750 in words is "one billion, four hundred million, four hundred sixty-nine thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 125 135 150 162 225 243 250 270 375 405 450 486 675 750 810 1125 1215 1350 2025 2250 2430 3375 4050 6075 6750 10125 12150 20250 23053 30375 46106 60750 69159 115265 138318 207477 230530 345795 414954 576325 622431 691590 1037385 1152650 1244862 1728975 1867293 2074770 2881625 3112155 3457950 3734586 5186925 5601879 5763250 6224310 8644875 9336465 10373850 11203758 15560775 17289750 18672930 25934625 28009395 31121550 46682325 51869250 56018790 77803875 93364650 140046975 155607750 233411625 280093950 466823250 700234875 1400469750