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1030137472 = 2771326803
BaseRepresentation
bin111101011001101…
…010011010000000
32122210101101221201
4331121222122000
54102203344342
6250115230544
734346011150
oct7531523200
92583341851
101030137472
11489538591
12248ba8454
1313555c900
149ab54760
1560685db7
hex3d66a680

1030137472 has 96 divisors (see below), whose sum is σ = 2540069280. Its totient is φ = 407467008.

The previous prime is 1030137419. The next prime is 1030137487. The reversal of 1030137472 is 2747310301.

It is a super-2 number, since 2×10301374722 = 2122366422437101568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1030137472.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148023 + ... + 154825.

It is an arithmetic number, because the mean of its divisors is an integer number (26459055).

Almost surely, 21030137472 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 1030137472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270034640).

1030137472 is an abundant number, since it is smaller than the sum of its proper divisors (1509931808).

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

1030137472 is an equidigital number, since it uses as much as digits as its factorization.

1030137472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6850 (or 6825 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 1030137472 is about 32095.7547348555. The cubic root of 1030137472 is about 1009.9465618886.

Adding to 1030137472 its reverse (2747310301), we get a palindrome (3777447773).

The spelling of 1030137472 in words is "one billion, thirty million, one hundred thirty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 169 182 208 224 338 364 416 448 676 728 832 896 1183 1352 1456 1664 2366 2704 2912 4732 5408 5824 6803 9464 10816 11648 13606 18928 21632 27212 37856 47621 54424 75712 88439 95242 108848 151424 176878 190484 217696 353756 380968 435392 619073 707512 761936 870784 1149707 1238146 1415024 1523872 2299414 2476292 2830048 3047744 4598828 4952584 5660096 6095488 8047949 9197656 9905168 11320192 16095898 18395312 19810336 32191796 36790624 39620672 64383592 73581248 79241344 128767184 147162496 257534368 515068736 1030137472