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10118970 = 2325293877
BaseRepresentation
bin100110100110…
…011100111010
3201001002121200
4212212130322
510042301340
61000515030
7152003241
oct46463472
921032550
1010118970
115791594
12347ba76
132133a74
1414b5958
15d4d330
hex9a673a

10118970 has 48 divisors (see below), whose sum is σ = 27223560. Its totient is φ = 2604672.

The previous prime is 10118947. The next prime is 10118971. The reversal of 10118970 is 7981101.

It can be written as a sum of positive squares in 4 ways, for example, as 7080921 + 3038049 = 2661^2 + 1743^2 .

It is not an unprimeable number, because it can be changed into a prime (10118971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 672 + ... + 4548.

Almost surely, 210118970 is an apocalyptic number.

10118970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10118970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13611780).

10118970 is an abundant number, since it is smaller than the sum of its proper divisors (17104590).

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

10118970 is a wasteful number, since it uses less digits than its factorization.

10118970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The square root of 10118970 is about 3181.0328511350. The cubic root of 10118970 is about 216.2944800303.

The spelling of 10118970 in words is "ten million, one hundred eighteen thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 3877 7754 11631 19385 23262 34893 38770 58155 69786 112433 116310 174465 224866 337299 348930 562165 674598 1011897 1124330 1686495 2023794 3372990 5059485 10118970