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1030035272 = 237216212
BaseRepresentation
bin111101011001010…
…001011101001000
32122210012012202112
4331121101131020
54102142112042
6250113121452
734345104200
oct7531213510
92583165675
101030035272
11489478822
12248b59288
13135525236
149ab29400
1560665982
hex3d651748

1030035272 has 36 divisors (see below), whose sum is σ = 2248019865. Its totient is φ = 441171360.

The previous prime is 1030035271. The next prime is 1030035313. The reversal of 1030035272 is 2725300301.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1030035272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 949502596 + 80532676 = 30814^2 + 8974^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=22694.

It is a super-2 number, since 2×10300352722 = 2121945323128227968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1030035271) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 634622 + ... + 636242.

Almost surely, 21030035272 is an apocalyptic number.

It is an amenable number.

1030035272 is an abundant number, since it is smaller than the sum of its proper divisors (1217984593).

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

1030035272 is an frugal number, since it uses more digits than its factorization.

1030035272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 1030035272 is about 32094.1625844950. The cubic root of 1030035272 is about 1009.9131618311.

Adding to 1030035272 its reverse (2725300301), we get a palindrome (3755335573).

The spelling of 1030035272 in words is "one billion, thirty million, thirty-five thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 1621 3242 6484 11347 12968 22694 45388 79429 90776 158858 317716 635432 2627641 5255282 10510564 18393487 21021128 36786974 73573948 128754409 147147896 257508818 515017636 1030035272