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10439136 = 253267541
BaseRepresentation
bin100111110100…
…100111100000
3201122100210200
4213310213200
510133023021
61011425200
7154505541
oct47644740
921570720
1010439136
115990094
1235b5200
132216706
14155a4c8
15db3126
hex9f49e0

10439136 has 72 divisors (see below), whose sum is σ = 30185064. Its totient is φ = 3421440.

The previous prime is 10439131. The next prime is 10439141. The reversal of 10439136 is 63193401.

10439136 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10439131) and next prime (10439141).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10439131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19026 + ... + 19566.

It is an arithmetic number, because the mean of its divisors is an integer number (419237).

Almost surely, 210439136 is an apocalyptic number.

10439136 is a gapful number since it is divisible by the number (16) 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 10439136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15092532).

10439136 is an abundant number, since it is smaller than the sum of its proper divisors (19745928).

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

10439136 is a wasteful number, since it uses less digits than its factorization.

10439136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 10439136 is about 3230.9651808709. The cubic root of 10439136 is about 218.5520335768.

The spelling of 10439136 in words is "ten million, four hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 541 603 804 1072 1082 1206 1608 1623 2144 2164 2412 3216 3246 4328 4824 4869 6432 6492 8656 9648 9738 12984 17312 19296 19476 25968 36247 38952 51936 72494 77904 108741 144988 155808 217482 289976 326223 434964 579952 652446 869928 1159904 1304892 1739856 2609784 3479712 5219568 10439136