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10302533540 = 2251343391513
BaseRepresentation
bin10011001100001010…
…00010111110100100
3222121000000221010022
421212011002332210
5132044422033130
64422151014312
7513210042635
oct114605027644
928530027108
1010302533540
114407569a32
121bb636a398
13c825944c0
146da3d588c
1540471c7e5
hex266142fa4

10302533540 has 48 divisors (see below), whose sum is σ = 23353640688. Its totient is φ = 3795185664.

The previous prime is 10302533539. The next prime is 10302533557. The reversal of 10302533540 is 4533520301.

It can be written as a sum of positive squares in 8 ways, for example, as 4952781376 + 5349752164 = 70376^2 + 73142^2 .

It is a super-2 number, since 2×103025335402 (a number of 21 digits) contains 22 as substring.

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

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, 66824 + ... + 158336.

It is an arithmetic number, because the mean of its divisors is an integer number (486534181).

Almost surely, 210302533540 is an apocalyptic number.

10302533540 is a gapful number since it is divisible by the number (10) 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 10302533540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11676820344).

10302533540 is an abundant number, since it is smaller than the sum of its proper divisors (13051107148).

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

10302533540 is a wasteful number, since it uses less digits than its factorization.

10302533540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91968 (or 91966 counting only the distinct ones).

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

The spelling of 10302533540 in words is "ten billion, three hundred two million, five hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 433 866 1732 2165 4330 5629 8660 11258 22516 28145 56290 91513 112580 183026 366052 457565 915130 1189669 1830260 2379338 4758676 5948345 11896690 23793380 39625129 79250258 158500516 198125645 396251290 515126677 792502580 1030253354 2060506708 2575633385 5151266770 10302533540