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10525342240 = 255788110667
BaseRepresentation
bin10011100110101101…
…11111101000100000
31000011112021210012101
421303112333220200
5133023441422430
64500230340144
7521553634660
oct116326775040
930145253171
1010525342240
114511310456
122058aba654
13cb97a647a
1471bc341a0
1541907edca
hex2735bfa20

10525342240 has 96 divisors (see below), whose sum is σ = 28453348224. Its totient is φ = 3604254720.

The previous prime is 10525342213. The next prime is 10525342279. The reversal of 10525342240 is 4224352501.

It is a super-2 number, since 2×105253422402 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10525342199 and 10525342208.

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, 981387 + ... + 992053.

It is an arithmetic number, because the mean of its divisors is an integer number (296389044).

Almost surely, 210525342240 is an apocalyptic number.

10525342240 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 10525342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14226674112).

10525342240 is an abundant number, since it is smaller than the sum of its proper divisors (17928005984).

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

10525342240 is a wasteful number, since it uses less digits than its factorization.

10525342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11570 (or 11562 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 10525342240 its reverse (4224352501), we get a palindrome (14749694741).

The spelling of 10525342240 in words is "ten billion, five hundred twenty-five million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 881 1120 1762 3524 4405 6167 7048 8810 10667 12334 14096 17620 21334 24668 28192 30835 35240 42668 49336 53335 61670 70480 74669 85336 98672 106670 123340 140960 149338 170672 197344 213340 246680 298676 341344 373345 426680 493360 597352 746690 853360 986720 1194704 1493380 1706720 2389408 2986760 5973520 9397627 11947040 18795254 37590508 46988135 65783389 75181016 93976270 131566778 150362032 187952540 263133556 300724064 328916945 375905080 526267112 657833890 751810160 1052534224 1315667780 1503620320 2105068448 2631335560 5262671120 10525342240