Search a number
-
+
1052414310 = 235374911931
BaseRepresentation
bin111110101110101…
…001000101100110
32201100022012000210
4332232221011212
54123404224220
6252232520250
735036242203
oct7656510546
92640265023
101052414310
114a00734a2
12254550086
1313a05c47c
149dab2caa
15625d66e0
hex3eba9166

1052414310 has 64 divisors (see below), whose sum is σ = 2600688384. Its totient is φ = 272361600.

The previous prime is 1052414309. The next prime is 1052414317. The reversal of 1052414310 is 134142501.

It is a super-2 number, since 2×10524143102 = 2215151759785552200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052414317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544045 + ... + 545975.

It is an arithmetic number, because the mean of its divisors is an integer number (40635756).

Almost surely, 21052414310 is an apocalyptic number.

1052414310 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 1052414310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300344192).

1052414310 is an abundant number, since it is smaller than the sum of its proper divisors (1548274074).

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

1052414310 is a wasteful number, since it uses less digits than its factorization.

1052414310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1052414310 is about 32440.9357140018. The cubic root of 1052414310 is about 1017.1747750702.

Adding to 1052414310 its reverse (134142501), we get a palindrome (1186556811).

Subtracting from 1052414310 its reverse (134142501), we obtain a square (918271809 = 303032).

The spelling of 1052414310 in words is "one billion, fifty-two million, four hundred fourteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 491 555 982 1110 1473 1931 2455 2946 3862 4910 5793 7365 9655 11586 14730 18167 19310 28965 36334 54501 57930 71447 90835 109002 142894 181670 214341 272505 357235 428682 545010 714470 948121 1071705 1896242 2143410 2844363 4740605 5688726 9481210 14221815 28443630 35080477 70160954 105241431 175402385 210482862 350804770 526207155 1052414310