Search a number
-
+
1030556484 = 2232413831823
BaseRepresentation
bin111101011011010…
…000101101000100
32122211011200201200
4331123100231010
54102310301414
6250132222500
734352404566
oct7533205504
92584150650
101030556484
114897a4381
1224916aa30
13135678549
149ac23336
156071a109
hex3d6d0b44

1030556484 has 72 divisors (see below), whose sum is σ = 2676989952. Its totient is φ = 334081920.

The previous prime is 1030556431. The next prime is 1030556537. The reversal of 1030556484 is 4846550301.

It is a happy number.

1030556484 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 5 + 5 + 648 + 4 = 666.

1030556484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1030556431) and next prime (1030556537).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564397 + ... + 566219.

It is an arithmetic number, because the mean of its divisors is an integer number (37180416).

Almost surely, 21030556484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030556484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338494976).

1030556484 is an abundant number, since it is smaller than the sum of its proper divisors (1646433468).

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

1030556484 is a wasteful number, since it uses less digits than its factorization.

1030556484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1030556484 is about 32102.2816011573. The cubic root of 1030556484 is about 1010.0834764191.

The spelling of 1030556484 in words is "one billion, thirty million, five hundred fifty-six thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 383 492 738 766 1149 1476 1532 1823 2298 3447 3646 4596 5469 6894 7292 10938 13788 15703 16407 21876 31406 32814 47109 62812 65628 74743 94218 141327 149486 188436 224229 282654 298972 448458 565308 672687 698209 896916 1345374 1396418 2094627 2690748 2792836 4189254 6283881 8378508 12567762 25135524 28626569 57253138 85879707 114506276 171759414 257639121 343518828 515278242 1030556484