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10138052 = 2217295397
BaseRepresentation
bin100110101011…
…000111000100
3201002001210102
4212223013010
510043404202
61001143232
7152113001
oct46530704
921061712
1010138052
1157a4961
12348ab18
13213c662
1414bc8a8
15d53d02
hex9ab1c4

10138052 has 48 divisors (see below), whose sum is σ = 20003760. Its totient is φ = 4472832.

The previous prime is 10138043. The next prime is 10138057. The reversal of 10138052 is 25083101.

It can be written as a sum of positive squares in 8 ways, for example, as 614656 + 9523396 = 784^2 + 3086^2 .

It is not an unprimeable number, because it can be changed into a prime (10138057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104468 + ... + 104564.

It is an arithmetic number, because the mean of its divisors is an integer number (416745).

Almost surely, 210138052 is an apocalyptic number.

It is an amenable number.

10138052 is a deficient number, since it is larger than the sum of its proper divisors (9865708).

10138052 is a wasteful number, since it uses less digits than its factorization.

10138052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 10138052 is about 3184.0307787457. The cubic root of 10138052 is about 216.4303548473.

The spelling of 10138052 in words is "ten million, one hundred thirty-eight thousand, fifty-two".

Divisors: 1 2 4 17 29 34 53 58 68 97 106 116 194 212 388 493 901 986 1537 1649 1802 1972 2813 3074 3298 3604 5141 5626 6148 6596 10282 11252 20564 26129 47821 52258 87397 95642 104516 149089 174794 191284 298178 349588 596356 2534513 5069026 10138052