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10122528 = 253138111
BaseRepresentation
bin100110100111…
…010100100000
3201001021111110
4212213110200
510042410103
61000543320
7152016513
oct46472440
921037443
1010122528
115794229
123481b40
132135580
1414b6d7a
15d4e403
hex9a7520

10122528 has 48 divisors (see below), whose sum is σ = 28619136. Its totient is φ = 3114240.

The previous prime is 10122527. The next prime is 10122529. The reversal of 10122528 is 82522101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10122527) and next prime (10122529).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×101225282 = 204931146221568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10122527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2808 + ... + 5303.

It is an arithmetic number, because the mean of its divisors is an integer number (596232).

Almost surely, 210122528 is an apocalyptic number.

It is an amenable number.

10122528 is an abundant number, since it is smaller than the sum of its proper divisors (18496608).

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

10122528 is a wasteful number, since it uses less digits than its factorization.

10122528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8137 (or 8129 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 10122528 is about 3181.5920543024. The cubic root of 10122528 is about 216.3198279850.

Adding to 10122528 its reverse (82522101), we get a palindrome (92644629).

The spelling of 10122528 in words is "ten million, one hundred twenty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 8111 16222 24333 32444 48666 64888 97332 105443 129776 194664 210886 259552 316329 389328 421772 632658 778656 843544 1265316 1687088 2530632 3374176 5061264 10122528