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1053023524 = 227229229809
BaseRepresentation
bin111110110000111…
…101110100100100
32201101110010201021
4332300331310210
54124033223044
6252253540524
735044360300
oct7660756444
92641403637
101053023524
114a044a183
122547a4744
1313a213857
149dbd0d00
15626a6e84
hex3ec3dd24

1053023524 has 72 divisors (see below), whose sum is σ = 2230011000. Its totient is φ = 433294848.

The previous prime is 1053023483. The next prime is 1053023549. The reversal of 1053023524 is 4253203501.

It can be written as a sum of positive squares in 4 ways, for example, as 626601024 + 426422500 = 25032^2 + 20650^2 .

It is a super-2 number, since 2×10530235242 = 2217717084194757152, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1301232 + ... + 1302040.

It is an arithmetic number, because the mean of its divisors is an integer number (30972375).

Almost surely, 21053023524 is an apocalyptic number.

1053023524 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 1053023524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115005500).

1053023524 is an abundant number, since it is smaller than the sum of its proper divisors (1176987476).

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

1053023524 is a wasteful number, since it uses less digits than its factorization.

1053023524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 1053023524 is about 32450.3239429131. The cubic root of 1053023524 is about 1017.3710088078.

The spelling of 1053023524 in words is "one billion, fifty-three million, twenty-three thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 229 406 458 809 812 916 1421 1603 1618 2842 3206 3236 5663 5684 6412 6641 11221 11326 13282 22442 22652 23461 26564 39641 44884 46487 46922 79282 92974 93844 158564 164227 185261 185948 325409 328454 370522 650818 656908 741044 1149589 1296827 1301636 2299178 2593654 4598356 5187308 5372569 9077789 10745138 18155578 21490276 36311156 37607983 75215966 150431932 263255881 526511762 1053023524