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1030540224 = 26377511021
BaseRepresentation
bin111101011011001…
…100101111000000
32122211010212102110
4331123030233000
54102304241344
6250132015320
734352306310
oct7533145700
92584125373
101030540224
1148979313a
12249161540
1313567101c
149ac1b440
15607153b9
hex3d6ccbc0

1030540224 has 112 divisors (see below), whose sum is σ = 3123362816. Its totient is φ = 293760000.

The previous prime is 1030540157. The next prime is 1030540237. The reversal of 1030540224 is 4220450301.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1030540224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1008834 + ... + 1009854.

It is an arithmetic number, because the mean of its divisors is an integer number (27887168).

Almost surely, 21030540224 is an apocalyptic number.

1030540224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561681408).

1030540224 is an abundant number, since it is smaller than the sum of its proper divisors (2092822592).

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

1030540224 is a wasteful number, since it uses less digits than its factorization.

1030540224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1030540224 is about 32102.0283471310. The cubic root of 1030540224 is about 1010.0781640648.

Adding to 1030540224 its reverse (4220450301), we get a palindrome (5250990525).

The spelling of 1030540224 in words is "one billion, thirty million, five hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 751 1021 1344 1502 2042 2253 3004 3063 4084 4506 5257 6008 6126 7147 8168 9012 10514 12016 12252 14294 15771 16336 18024 21028 21441 24032 24504 28588 31542 32672 36048 42056 42882 48064 49008 57176 63084 65344 72096 84112 85764 98016 114352 126168 144192 168224 171528 196032 228704 252336 336448 343056 457408 504672 686112 766771 1009344 1372224 1533542 2300313 3067084 4600626 5367397 6134168 9201252 10734794 12268336 16102191 18402504 21469588 24536672 32204382 36805008 42939176 49073344 64408764 73610016 85878352 128817528 147220032 171756704 257635056 343513408 515270112 1030540224