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10483136 = 261937233
BaseRepresentation
bin100111111111…
…010111000000
3201201121011022
4213333113000
510140430021
61012405012
7155051036
oct47772700
921647138
1010483136
115a10154
123616768
132230751
14156c556
15dc11ab
hex9ff5c0

10483136 has 56 divisors (see below), whose sum is σ = 22585680. Its totient is φ = 4810752.

The previous prime is 10483133. The next prime is 10483139. The reversal of 10483136 is 63138401.

It is an interprime number because it is at equal distance from previous prime (10483133) and next prime (10483139).

It is a super-2 number, since 2×104831362 = 219792280788992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10483133) 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, 44876 + ... + 45108.

Almost surely, 210483136 is an apocalyptic number.

10483136 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 10483136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11292840).

10483136 is an abundant number, since it is smaller than the sum of its proper divisors (12102544).

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

10483136 is a wasteful number, since it uses less digits than its factorization.

10483136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 10483136 is about 3237.7671318364. The cubic root of 10483136 is about 218.8586620958.

The spelling of 10483136 in words is "ten million, four hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 37 38 64 74 76 148 152 233 296 304 466 592 608 703 932 1184 1216 1406 1864 2368 2812 3728 4427 5624 7456 8621 8854 11248 14912 17242 17708 22496 34484 35416 44992 68968 70832 137936 141664 163799 275872 283328 327598 551744 655196 1310392 2620784 5241568 10483136