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1053303524 = 227137936629
BaseRepresentation
bin111110110010000…
…010001011100100
32201101222100210122
4332302002023210
54124121203044
6252303541112
735046634520
oct7662021344
92641870718
101053303524
114a0620589
122548ba798
1313a2b1130
149dc64d80
156270edee
hex3ec822e4

1053303524 has 48 divisors (see below), whose sum is σ = 2297433600. Its totient is φ = 411405696.

The previous prime is 1053303479. The next prime is 1053303547. The reversal of 1053303524 is 4253033501.

It is a super-2 number, since 2×10533035242 = 2218896627341637152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 1053303493 and 1053303502.

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, 10442 + ... + 47070.

It is an arithmetic number, because the mean of its divisors is an integer number (47863200).

Almost surely, 21053303524 is an apocalyptic number.

1053303524 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 1053303524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148716800).

1053303524 is an abundant number, since it is smaller than the sum of its proper divisors (1244130076).

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

1053303524 is a wasteful number, since it uses less digits than its factorization.

1053303524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36732 (or 36730 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 1053303524 is about 32454.6379428272. The cubic root of 1053303524 is about 1017.4611741368.

The spelling of 1053303524 in words is "one billion, fifty-three million, three hundred three thousand, five hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 52 79 91 158 182 316 364 553 1027 1106 2054 2212 4108 7189 14378 28756 36629 73258 146516 256403 476177 512806 952354 1025612 1904708 2893691 3333239 5787382 6666478 11574764 13332956 20255837 37617983 40511674 75235966 81023348 150471932 263325881 526651762 1053303524