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10525984 = 2574137
BaseRepresentation
bin101000001001…
…110100100000
3201210202221021
4220021310200
510143312414
61013335224
7155320000
oct50116440
921722837
1010525984
115a3a367
123637514
1322470c1
141580000
15dcdc24
hexa09d20

10525984 has 60 divisors (see below), whose sum is σ = 24351894. Its totient is φ = 4478208.

The previous prime is 10525961. The next prime is 10525993. The reversal of 10525984 is 48952501.

It can be written as a sum of positive squares in only one way, i.e., 8643600 + 1882384 = 2940^2 + 1372^2 .

It is a super-2 number, since 2×105259842 = 221592678336512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 76764 + ... + 76900.

Almost surely, 210525984 is an apocalyptic number.

10525984 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 10525984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12175947).

10525984 is an abundant number, since it is smaller than the sum of its proper divisors (13825910).

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

10525984 is an frugal number, since it uses more digits than its factorization.

10525984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 10525984 is about 3244.3772900204. The cubic root of 10525984 is about 219.1564390324.

The spelling of 10525984 in words is "ten million, five hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 137 196 224 274 343 392 548 686 784 959 1096 1372 1568 1918 2192 2401 2744 3836 4384 4802 5488 6713 7672 9604 10976 13426 15344 19208 26852 30688 38416 46991 53704 76832 93982 107408 187964 214816 328937 375928 657874 751856 1315748 1503712 2631496 5262992 10525984